Final Answer
Step-by-step Solution
Specify the solving method
Divide $x^2$ by $x^2-1$
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 the function (x^2)/(x^2-1) from -3 to 5. Divide x^2 by x^2-1. Resulting polynomial. Expand the integral \int_{-3}^{5}\left(1+\frac{1}{x^2-1}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-3}^{5}1dx results in: 8.