The value of (\displaystyle\integral\_{0}^{2}\frac{x^2}{(x^3... | Mathematics | SolveeIt | Solveeit

Today, August 24

Question

The value of $\displaystyle\int_{0}^{2}\frac{x^2}{(x^3+1)^2}dx$ is equal to

A

$\frac{1}{27}$

B

$\frac{5}{27}$

C

$\frac{7}{27}$

D

$\frac{8}{27}$

E

$\frac{1}{3}$

Answer

$\frac{8}{27}$

Explanation

Solution

The correct option is (D): $\frac{8}{27}$