# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int_{-3}^{5}\frac{x^2}{x^2-1}dx$

Learn how to solve definite integrals problems step by step online.

$\begin{array}{l}\phantom{\phantom{;}x^{2}-1;}{\phantom{;}1\phantom{;}\phantom{;}}\\\phantom{;}x^{2}-1\overline{\smash{)}\phantom{;}x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{2}-1;}\underline{-x^{2}\phantom{-;x^n}+1\phantom{;}\phantom{;}}\\\phantom{-x^{2}+1\phantom{;}\phantom{;};}\phantom{;}1\phantom{;}\phantom{;}\\\end{array}$

Learn how to solve definite integrals problems step by step online. Integrate (x^2)/(x^2-1) from -3 to 5. Divide x^2 by x^2-1. Resulting polynomial. The integral of a sum of two or more functions is equal to the sum of their integrals. The integral \int_{-3}^{5}1dx results in: 5.

The integral diverges.

### Problem Analysis

$\int_{-3}^{5}\frac{x^2}{x^2-1}dx$

### Main topic:

Definite integrals

~ 0.4 seconds