# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int\left(\frac{x}{\left(1-x^2\right)^{\frac{5}{2}}}\right)dx$

Learn how to solve trigonometric equations problems step by step online.

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

Learn how to solve trigonometric equations problems step by step online. Integral of x/((1-x^2)^(5/2)) with respect to x. Solve the integral \int\frac{x}{\sqrt{\left(1-x^2\right)^{5}}}dx applying u-substitution. Let u and du be. Isolate dx in the previous equation. Substituting u and dx in the integral and simplify. Take the constant out of the integral.

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

### Problem Analysis

$\int\left(\frac{x}{\left(1-x^2\right)^{\frac{5}{2}}}\right)dx$

### Main topic:

Trigonometric Equations

~ 0.61 seconds