The Area Bounded By Y = X.e^|x| And The Lines |x| = 1, Y = 0 Is - Toppr

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SolveGuidesJoin / LoginUse appLogin0You visited us 0 times! Enjoying our articles? Unlock Full Access!Standard XIIMathematicsQuestionThe area bounded by y=x.e|x| and the lines |x|=1,y=0 is
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Since |x|=1∴x=±1y=xe|x|={xe−x−1<x<0xex0≤x<1Therefore =∣∣∫0−1xe−xdx∣∣+∣∣∫10xexdx∣∣=∣∣[−xe−x−e−x]0−1∣∣+∣∣[xex−ex]10∣∣=2

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