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NDA2021MathematicsIndefinite IntegrationActual

What is e^ (2 x+ x^2 ) d x equal to?

Options

  1. Ax^4 4 +c
  2. Bx^3 3 +c
  3. C2 x^5 5 +c
  4. Dx^5 5 +c

Correct answer

D. x^5 5 +c

Step-by-step solution

aligned & I = e^ (2 x+ x^2 ) d x & = e^ ( x+ x^2 ) d x= e^ (2 x^2 ) d x aligned = e^ ( x^4 ) d x= x^4 d x= x^5 5 +c

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