Calculus Examples

$- x$

Since $- 1$ is constant with respect to $x$ , move $- 1$ out of the integral.

$- \int x d x$

By the Power Rule, the integral of $x$ with respect to $x$ is $\frac{1}{2} x^{2}$ .

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

Rewrite $- (\frac{1}{2} x^{2} + C)$ as $- \frac{1}{2} x^{2} + C$ .

$- \frac{1}{2} x^{2} + C$