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MHT CET202121 Sep 2021Morning ShiftMathematicsIndefinite IntegrationActual

e^ x ( ^2 x+ ^3 x x ) d x=

Options

  1. Ax e^ x +c
  2. B(1+ x) e^ +c
  3. Cx e^ x +c
  4. De ^ x+ x +c

Correct answer

A. x e^ x +c

Step-by-step solution

Let I= e^ x ( ^2 x+ ^3 x x ) d x= e^ x ( ^2 x )+(1+ x) d x Put x = t ^2 xdx = dt I= e ^ t (1+ t ) dt = e ^ t ( t )+ c = e ^ x ( x )+ c

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