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\int_{0}^{4}\frac{x}{2+x^2}dx

Integrate x/(2+x^2) from 0 to 4

Answer

$\frac{23}{\sqrt[3]{2}}$

Step-by-step explanation

Problem

$\int_{0}^{4}\frac{x}{2+x^2}dx$
1

Solve the integral $\int_{0}^{4}\frac{x}{x^2+2}dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=x^2+2 \\ du=2xdx\end{matrix}$

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Answer

$\frac{23}{\sqrt[3]{2}}$