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99 Percentile Qs Bank for JEE MainMathematicsIndefinite Integration

e^ x ( ² x+ ³ x x ) d x is equal to

Options

  1. Ax e^ x +c
  2. Bx e^ x +c
  3. Ce^ x + x+c
  4. D(1+ x) e^ x +c

Correct answer

B. x e^ x +c

Step-by-step solution

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

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