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\int\frac{x}{\left(x^2+1\right)^3}dx

Integral of x/((x^2+1)^3)

Answer

$\frac{-\frac{1}{4}}{\left(1+x^2\right)^{2}}+C_0$

Step-by-step explanation

Problem

$\int\frac{x}{\left(x^2+1\right)^3}dx$
1

Solve the integral $\int\frac{x}{\left(1+x^2\right)^3}dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=1+x^2 \\ du=2xdx\end{matrix}$

Unlock this step-by-step solution!

Answer

$\frac{-\frac{1}{4}}{\left(1+x^2\right)^{2}}+C_0$
$\int\frac{x}{\left(x^2+1\right)^3}dx$

Main topic:

Integration by substitution

Used formulas:

4. See formulas

Time to solve it:

~ 0.45 seconds