Calculus Examples

\int x^{- 2} d x

$\int x^{- 2} d x$

Step 1

By the Power Rule, the integral of

x^{- 2}

$x^{- 2}$ with respect to

x

$x$ is

- x^{- 1}

$- x^{- 1}$ .

- x^{- 1} + C

$- x^{- 1} + C$

Step 2

Rewrite

- x^{- 1} + C

$- x^{- 1} + C$ as

- \frac{1}{x} + C

$- \frac{1}{x} + C$ .

- \frac{1}{x} + C

$- \frac{1}{x} + C$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$