Calculus Examples

$- 3 x$

Step 1

Since $- 3$ is constant with respect to $x$ , move $- 3$ out of the integral.

$- 3 \int x d x$

Step 2

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

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

Step 3

Simplify the answer.

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Step 3.1

Rewrite $- 3 (\frac{1}{2} x^{2} + C)$ as $- 3 (\frac{1}{2}) x^{2} + C$ .

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

Step 3.2

Simplify.

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Step 3.2.1

Combine $- 3$ and $\frac{1}{2}$ .

$\frac{- 3}{2} x^{2} + C$

Step 3.2.2

Move the negative in front of the fraction.

$- \frac{3}{2} x^{2} + C$