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MHT CET2008MathematicsIndefinite Integration

x^ e-1 +e^ x-1 x^ e +e^ x d x is equal to

Options

  1. A(x^ e +e^ x )+c
  2. Be (x^ e +e^ x )+c
  3. C1 e (x^ e +e^ x )+c
  4. DNone of the above

Correct answer

C. 1 e (x^ e +e^ x )+c

Step-by-step solution

Put aligned x^ e +e^ x =t e (x^ e-1 +e^ x-1 ) d x &=d t x^ e-1 +e^ x-1 x^ e +e^ x d x &= 1 e d t t &= 1 e t+c &= 1 e (x^ e +e^ x )+c aligned

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