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NDA2022MathematicsIndefinite IntegrationActual

What is e^ x (1+ x+x x) d x equal to?

Options

  1. Ax e^ x x+ c
  2. Bx^2 e^ x x+ c
  3. Cx+e^ x x+ c
  4. Dx e^ x + x+ c

Correct answer

A. x e^ x x+ c

Step-by-step solution

aligned & d(x x) d x =1+ x & I= e^x 1+ x+x x d x & =x x e^ x +c [ e^x (f(x)+f^ (x) d x=e^x f(x)+c ) ] aligned

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