Question

The value of $\int e^x\left(\frac{x^4+2}{{\left(1+x^2\right)}^{5/2}}\right)dx$, is equal to
(a) $\frac{e^x\left(x+1\right)}{{\left(1+x^2\right)}^{3/2}}$ (b) $\frac{e^x\left(1-x+x^2\right)}{{\left(1+x^2\right)}^{3/2}}$ (c) $\frac{e^x\left(1+x\right)}{{\left(1+x^2\right)}^{3/2}}$ (d) None of these

Answer 1

dear student

it is easier to solve such questions by differentiating options rather than integrating term

option A and C are same

even if we differentiate option B, we do not get the expression under the integral

regards