Evaluate Int E^x(log X + 1/x^2)dx - Toppr

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SolveGuidesJoin / LoginUse appLogin0You visited us 0 times! Enjoying our articles? Unlock Full Access!Standard XIIMathematicsQuestionEvaluate ∫ex(logx+1x2)dx
  1. ex(logx−1x)+c
  2. ex logx +c
  3. exx2+c
  4. ex(logx+1x)+c
Aex logx +cBex(logx−1x)+cCex(logx+1x)+cDexx2+c Open in AppSolutionVerified by Toppr

∫ex(logx+1x2)dx∫exlogxdx+∫ex1x2dx=logx∫exdx−∫1xexdx+∫exx2dx=logxex−∫1xexdx+ex∫1x2dx−∫(ex∫1x2dx)dx=logxex−∫1xexdx+ex[−1x]+∫ex1xdx=ex[logx−1x]+cSo, ∫ex(logx+1x2)dx=ex[logx−1x]+c

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