Calculus Examples

$\int \frac{1}{{(x^{2} - 1)}^{\frac{3}{2}}} d x$

Step 1

$\int \frac{1}{{(x^{2} - 1)}^{\frac{3}{2}}} d x$ is an antiderivative of $\frac{1}{{(x^{2} - 1)}^{\frac{3}{2}}}$ , so by definition $\frac{d}{d x} [\int \frac{1}{{(x^{2} - 1)}^{\frac{3}{2}}} d x]$ is $\frac{1}{{(x^{2} - 1)}^{\frac{3}{2}}}$ .

$\frac{1}{{(x^{2} - 1)}^{\frac{3}{2}}}$