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MHT CET2007MathematicsIndefinite Integration

³ x e^ ( x) d x is equal to

Options

  1. A- ⁴ x 4 +c
  2. B- ⁴ x 4 +c
  3. Ce^ x 4 +c
  4. DNone of these

Correct answer

B. - ⁴ x 4 +c

Step-by-step solution

Let I= ³ x e^ x d x= ³ x x d x Put x=t - x d x=d t I=- t³ d t=- t⁴ 4 +c=- ⁴ x 4 +c

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