<?xml version="1.0" encoding="us-ascii"?><InstanceReport xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><Version>2.4.0.8</Version><ReportLongName>1020 - Disclosure - Integration, Restructuring and Other Charges</ReportLongName><DisplayLabelColumn>true</DisplayLabelColumn><ShowElementNames>false</ShowElementNames><RoundingOption /><HasEmbeddedReports>false</HasEmbeddedReports><Columns><Column FlagID="0"><Id>1</Id><IsAbstractGroupTitle>false</IsAbstractGroupTitle><LabelSeparator>

</LabelSeparator><CurrencyCode /><FootnoteIndexer /><hasSegments>false</hasSegments><hasScenarios>false</hasScenarios><MCU><KeyName /><CurrencySymbol /><contextRef><ContextID>D2013Q2YTD</ContextID><EntitySchema>http://www.sec.gov/CIK</EntitySchema><EntityValue>0001574774</EntityValue><PeriodDisplayName /><PeriodType>duration</PeriodType><PeriodStartDate>2013-01-01T00:00:00</PeriodStartDate><PeriodEndDate>2013-06-30T00:00:00</PeriodEndDate><Segments /><Scenarios /></contextRef><UPS /><CurrencyCode /><OriginalCurrencyCode /></MCU><CurrencySymbol /><Labels><Label Key="CalendarSupplement" Id="0" Label="6 Months Ended" /><Label Key="Calendar" Id="1" Label="Jun. 30, 2013" /></Labels></Column></Columns><Rows><Row FlagID="0"><Id>1</Id><IsAbstractGroupTitle>true</IsAbstractGroupTitle><LabelSeparator>

</LabelSeparator><Level>1</Level><ElementName>us-gaap_RestructuringAndRelatedActivitiesAbstract</ElementName><ElementPrefix>us-gaap_</ElementPrefix><IsBaseElement>true</IsBaseElement><BalanceType>na</BalanceType><PeriodType>duration</PeriodType><IsReportTitle>false</IsReportTitle><IsSegmentTitle>false</IsSegmentTitle><IsCalendarTitle>false</IsCalendarTitle><IsEquityPrevioslyReportedAsRow>false</IsEquityPrevioslyReportedAsRow><IsEquityAdjustmentRow>false</IsEquityAdjustmentRow><IsBeginningBalance>false</IsBeginningBalance><IsEndingBalance>false</IsEndingBalance><IsReverseSign>false</IsReverseSign><FootnoteIndexer /><Cells><Cell FlagID="0" ContextID="" UnitID=""><Id>1</Id><IsNumeric>false</IsNumeric><IsRatio>false</IsRatio><DisplayZeroAsNone>false</DisplayZeroAsNone><NumericAmount>0</NumericAmount><RoundedNumericAmount>0</RoundedNumericAmount><NonNumbericText /><FootnoteIndexer /><CurrencyCode /><CurrencySymbol /><IsIndependantCurrency>false</IsIndependantCurrency><ShowCurrencySymbol>false</ShowCurrencySymbol><DisplayDateInUSFormat>false</DisplayDateInUSFormat></Cell></Cells><ElementDataType>xbrli:stringItemType</ElementDataType><SimpleDataType>string</SimpleDataType><IsTotalLabel>false</IsTotalLabel><UnitID>0</UnitID><Label>Integration, Restructuring and Other Charges</Label></Row><Row FlagID="0"><Id>2</Id><IsAbstractGroupTitle>false</IsAbstractGroupTitle><LabelSeparator>

</LabelSeparator><Level>2</Level><ElementName>us-gaap_RestructuringAndRelatedActivitiesDisclosureTextBlock</ElementName><ElementPrefix>us-gaap_</ElementPrefix><IsBaseElement>true</IsBaseElement><BalanceType>na</BalanceType><PeriodType>duration</PeriodType><IsReportTitle>false</IsReportTitle><IsSegmentTitle>false</IsSegmentTitle><IsCalendarTitle>false</IsCalendarTitle><IsEquityPrevioslyReportedAsRow>false</IsEquityPrevioslyReportedAsRow><IsEquityAdjustmentRow>false</IsEquityAdjustmentRow><IsBeginningBalance>false</IsBeginningBalance><IsEndingBalance>false</IsEndingBalance><IsReverseSign>false</IsReverseSign><PreferredLabelRole>terseLabel</PreferredLabelRole><FootnoteIndexer /><Cells><Cell FlagID="0" ContextID="D2013Q2YTD" UnitID=""><Id>1</Id><IsNumeric>false</IsNumeric><IsRatio>false</IsRatio><DisplayZeroAsNone>false</DisplayZeroAsNone><NumericAmount>0</NumericAmount><RoundedNumericAmount>0</RoundedNumericAmount><NonNumbericText>&lt;div style="font-size:10.0pt;font-family:Times New Roman;"&gt;
&lt;p style="TEXT-INDENT: -0.25in; MARGIN: 0in 0in 0pt 0.25in;"&gt;&lt;b&gt;&lt;font style="FONT-FAMILY: Times New Roman; FONT-SIZE: 10pt; FONT-WEIGHT: bold;" size="2"&gt;2.&amp;#160;&amp;#160; Integration, Restructuring and Other Charges&lt;/font&gt;&lt;/b&gt;&lt;/p&gt;
&lt;p style="TEXT-INDENT: -0.25in; MARGIN: 0in 0in 0pt 0.25in;"&gt;&amp;#160;&lt;/p&gt;
&lt;p style="TEXT-INDENT: 0.25in; MARGIN: 0in 0in 0pt;"&gt;&lt;font style="FONT-FAMILY: Times New Roman; FONT-SIZE: 10pt;" size="2"&gt;The Company accounts for expenses associated with exit or disposal activities in accordance with ASC 420, &lt;i&gt;Exit or Disposal Cost Obligations,&lt;/i&gt; and records the expenses in &lt;i&gt;Integration, restructuring and other charges&lt;/i&gt; in its statement of operations, and records the related accrual in the &lt;i&gt;Accrued expenses&lt;/i&gt; line of its balance sheet.&lt;/font&gt;&lt;/p&gt;
&lt;p style="TEXT-INDENT: 0.25in; MARGIN: 0in 0in 0pt;"&gt;&amp;#160;&lt;/p&gt;
&lt;p style="TEXT-INDENT: 0.25in; MARGIN: 0in 0in 0pt;"&gt;&lt;i&gt;&lt;font style="FONT-STYLE: italic; FONT-FAMILY: Times New Roman; FONT-SIZE: 10pt;" size="2"&gt;2013 Integration, Restructuring and Other Charges&lt;/font&gt;&lt;/i&gt;&lt;/p&gt;
&lt;p style="TEXT-INDENT: 0.25in; MARGIN: 0in 0in 0pt;"&gt;&amp;#160;&lt;/p&gt;
&lt;p style="TEXT-INDENT: 0.25in; MARGIN: 0in 0in 0pt;"&gt;&lt;font style="FONT-FAMILY: Times New Roman; FONT-SIZE: 10pt;" size="2"&gt;For the six months ended June&amp;#160;30, 2013, the Company incurred expenses related to restructuring, integration and other activities. A summary of these expenses is as follows:&lt;/font&gt;&lt;/p&gt;
&lt;p style="TEXT-INDENT: 0.25in; MARGIN: 0in 0in 0pt;"&gt;&amp;#160;&lt;/p&gt;
&lt;table style="text-align:left;WIDTH: 83.34%; BORDER-COLLAPSE: collapse; MARGIN-LEFT: 0.5in;" border="0" cellspacing="0" cellpadding="0" width="83%"&gt;

&lt;tr style="padding:0;"&gt;
&lt;td style="PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; WIDTH: 81.42%; PADDING-RIGHT: 0in; BACKGROUND: #cceeff; PADDING-TOP: 0in;" bgcolor="#CCEEFF" valign="bottom" width="81%"&gt;
&lt;p style="TEXT-INDENT: -10pt; MARGIN: 0in 0in 0pt 10pt;"&gt;&lt;font style="FONT-FAMILY: Times New Roman; FONT-SIZE: 10pt;" size="2"&gt;Legal fees&lt;/font&gt;&lt;/p&gt;&lt;/td&gt;
&lt;td style="PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; WIDTH: 3%; PADDING-RIGHT: 0in; BACKGROUND: #cceeff; PADDING-TOP: 0in;" bgcolor="#CCEEFF" valign="bottom" width="3%"&gt;
&lt;p style="MARGIN: 0in 0in 0pt;"&gt;&amp;#160;&lt;/p&gt;&lt;/td&gt;
&lt;td style="PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; WIDTH: 1.3%; PADDING-RIGHT: 0in; BACKGROUND: #cceeff; PADDING-TOP: 0in;" bgcolor="#CCEEFF" valign="bottom" width="1%"&gt;
&lt;p style="MARGIN: 0in 0in 0pt;"&gt;&lt;font style="FONT-FAMILY: Times New Roman; FONT-SIZE: 10pt;" size="2"&gt;$&lt;/font&gt;&lt;/p&gt;&lt;/td&gt;
&lt;td style="PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; WIDTH: 13.1%; PADDING-RIGHT: 0in; BACKGROUND: #cceeff; PADDING-TOP: 0in;" bgcolor="#CCEEFF" valign="bottom" width="13%"&gt;
&lt;p style="TEXT-ALIGN: right; MARGIN: 0in 0in 0pt;" align="right"&gt;&lt;font style="FONT-FAMILY: Times New Roman; FONT-SIZE: 10pt;" size="2"&gt;2,682&lt;/font&gt;&lt;/p&gt;&lt;/td&gt;
&lt;td style="PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; WIDTH: 1.18%; PADDING-RIGHT: 0in; BACKGROUND: #cceeff; PADDING-TOP: 0in;" bgcolor="#CCEEFF" valign="bottom" width="1%"&gt;
&lt;p style="MARGIN: 0in 0in 0pt;"&gt;&amp;#160;&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr style="padding:0;"&gt;
&lt;td style="PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; WIDTH: 81.42%; PADDING-RIGHT: 0in; PADDING-TOP: 0in;" valign="bottom" width="81%"&gt;
&lt;p style="TEXT-INDENT: -10pt; MARGIN: 0in 0in 0pt 10pt;"&gt;&lt;font style="FONT-FAMILY: Times New Roman; FONT-SIZE: 10pt;" size="2"&gt;Professional fees&lt;/font&gt;&lt;/p&gt;&lt;/td&gt;
&lt;td style="PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; WIDTH: 3%; PADDING-RIGHT: 0in; PADDING-TOP: 0in;" valign="bottom" width="3%"&gt;
&lt;p style="MARGIN: 0in 0in 0pt;"&gt;&amp;#160;&lt;/p&gt;&lt;/td&gt;
&lt;td style="PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; WIDTH: 14.4%; PADDING-RIGHT: 0in; PADDING-TOP: 0in;" valign="bottom" width="14%" colspan="2"&gt;
&lt;p style="TEXT-ALIGN: right; MARGIN: 0in 0in 0pt;" align="right"&gt;&lt;font style="FONT-FAMILY: Times New Roman; FONT-SIZE: 10pt;" size="2"&gt;321&lt;/font&gt;&lt;/p&gt;&lt;/td&gt;
&lt;td style="PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; WIDTH: 1.18%; PADDING-RIGHT: 0in; PADDING-TOP: 0in;" valign="bottom" width="1%"&gt;
&lt;p style="MARGIN: 0in 0in 0pt;"&gt;&amp;#160;&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr style="padding:0;"&gt;
&lt;td style="PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; WIDTH: 81.42%; PADDING-RIGHT: 0in; BACKGROUND: #cceeff; PADDING-TOP: 0in;" bgcolor="#CCEEFF" valign="bottom" width="81%"&gt;
&lt;p style="TEXT-INDENT: -10pt; MARGIN: 0in 0in 0pt 10pt;"&gt;&lt;font style="FONT-FAMILY: Times New Roman; FONT-SIZE: 10pt;" size="2"&gt;Severance and employee related costs&lt;/font&gt;&lt;/p&gt;&lt;/td&gt;
&lt;td style="PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; WIDTH: 3%; PADDING-RIGHT: 0in; BACKGROUND: #cceeff; PADDING-TOP: 0in;" bgcolor="#CCEEFF" valign="bottom" width="3%"&gt;
&lt;p style="MARGIN: 0in 0in 0pt;"&gt;&amp;#160;&lt;/p&gt;&lt;/td&gt;
&lt;td style="BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; WIDTH: 14.4%; PADDING-RIGHT: 0in; BACKGROUND: #cceeff; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0in;" bgcolor="#CCEEFF" valign="bottom" width="14%" colspan="2"&gt;
&lt;p style="TEXT-ALIGN: right; MARGIN: 0in 0in 0pt;" align="right"&gt;&lt;font style="FONT-FAMILY: Times New Roman; FONT-SIZE: 10pt;" size="2"&gt;740&lt;/font&gt;&lt;/p&gt;&lt;/td&gt;
&lt;td style="PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; WIDTH: 1.18%; PADDING-RIGHT: 0in; BACKGROUND: #cceeff; PADDING-TOP: 0in;" bgcolor="#CCEEFF" valign="bottom" width="1%"&gt;
&lt;p style="MARGIN: 0in 0in 0pt;"&gt;&amp;#160;&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr style="padding:0;"&gt;
&lt;td style="PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; WIDTH: 81.42%; PADDING-RIGHT: 0in; PADDING-TOP: 0in;" valign="bottom" width="81%"&gt;
&lt;p style="TEXT-INDENT: -10pt; MARGIN: 0in 0in 0pt 10pt;"&gt;&lt;font style="FONT-FAMILY: Times New Roman; FONT-SIZE: 10pt;" size="2"&gt;Total&lt;/font&gt;&lt;/p&gt;&lt;/td&gt;
&lt;td style="PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; WIDTH: 3%; PADDING-RIGHT: 0in; PADDING-TOP: 0in;" valign="bottom" width="3%"&gt;
&lt;p style="MARGIN: 0in 0in 0pt;"&gt;&amp;#160;&lt;/p&gt;&lt;/td&gt;
&lt;td style="BORDER-BOTTOM: windowtext 2.25pt double; BORDER-LEFT: medium none; PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; WIDTH: 1.3%; PADDING-RIGHT: 0in; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0in;" valign="bottom" width="1%"&gt;
&lt;p style="MARGIN: 0in 0in 0pt;"&gt;&lt;font style="FONT-FAMILY: Times New Roman; FONT-SIZE: 10pt;" size="2"&gt;$&lt;/font&gt;&lt;/p&gt;&lt;/td&gt;
&lt;td style="BORDER-BOTTOM: windowtext 2.25pt double; BORDER-LEFT: medium none; PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; WIDTH: 13.1%; PADDING-RIGHT: 0in; BORDER-TOP: windowtext 1pt solid; BORDER-RIGHT: medium none; PADDING-TOP: 0in;" valign="bottom" width="13%"&gt;
&lt;p style="TEXT-ALIGN: right; MARGIN: 0in 0in 0pt;" align="right"&gt;&lt;font style="FONT-FAMILY: Times New Roman; FONT-SIZE: 10pt;" size="2"&gt;3,743&lt;/font&gt;&lt;/p&gt;&lt;/td&gt;
&lt;td style="PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; WIDTH: 1.18%; PADDING-RIGHT: 0in; PADDING-TOP: 0in;" valign="bottom" width="1%"&gt;
&lt;p style="MARGIN: 0in 0in 0pt;"&gt;&amp;#160;&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;
&lt;/div&gt;</NonNumbericText><FootnoteIndexer /><CurrencyCode /><CurrencySymbol /><IsIndependantCurrency>false</IsIndependantCurrency><ShowCurrencySymbol>false</ShowCurrencySymbol><DisplayDateInUSFormat>false</DisplayDateInUSFormat></Cell></Cells><ElementDataType>nonnum:textBlockItemType</ElementDataType><SimpleDataType>na</SimpleDataType><ElementDefenition>The entire disclosure for restructuring and related activities. Description of restructuring activities such as exit and disposal activities, include facts and circumstances leading to the plan, the expected plan completion date, the major types of costs associated with the plan activities, total expected costs, the accrual balance at the end of the period, and the periods over which the remaining accrual will be settled.</ElementDefenition><ElementReferences>Reference 1: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Statement of Financial Accounting Standard (FAS)

 -Number 146

 -Paragraph 20

 -LegacyDoc This reference is SUPERSEDED by the Accounting Standards Codification effective for interim and annual periods ending after September 15, 2009.  This reference is included to help users transition from the previous accounting hierarchy and will be removed from future versions of this taxonomy.



Reference 2: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 420

 -SubTopic 10

 -Section S99

 -Paragraph 2

 -Subparagraph (SAB TOPIC 5.P.4)

 -URI http://asc.fasb.org/extlink&amp;oid=6394695&amp;loc=d3e140904-122747



Reference 3: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 420

 -SubTopic 10

 -Section S99

 -Paragraph 1

 -Subparagraph (SAB TOPIC 5.P.3)

 -URI http://asc.fasb.org/extlink&amp;oid=6394695&amp;loc=d3e140864-122747



Reference 4: http://www.xbrl.org/2003/role/presentationRef

 -Publisher SEC

 -Name Staff Accounting Bulletin (SAB)

 -Number Topic 5

 -Section P

 -Subsection 3, 4



Reference 5: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 420

 -SubTopic 10

 -Section 50

 -Paragraph 1

 -URI http://asc.fasb.org/extlink&amp;oid=6394359&amp;loc=d3e17939-110869



</ElementReferences><IsTotalLabel>false</IsTotalLabel><UnitID>0</UnitID><Label>Integration, Restructuring and Other Charges</Label></Row></Rows><Footnotes /><IsEquityReport>false</IsEquityReport><ReportName>Integration, Restructuring and Other Charges</ReportName><MonetaryRoundingLevel>UnKnown</MonetaryRoundingLevel><SharesRoundingLevel>UnKnown</SharesRoundingLevel><PerShareRoundingLevel>UnKnown</PerShareRoundingLevel><ExchangeRateRoundingLevel>UnKnown</ExchangeRateRoundingLevel><HasCustomUnits>true</HasCustomUnits><IsEmbedReport>false</IsEmbedReport><IsMultiCurrency>false</IsMultiCurrency><ReportType>Sheet</ReportType><RoleURI>http://www.cardionet.com/role/DisclosureIntegrationRestructuringAndOtherCharges</RoleURI><NumberOfCols>1</NumberOfCols><NumberOfRows>2</NumberOfRows></InstanceReport>
