Calculus Examples

$4 x^{4}$

Step 1

Since $4$ is constant with respect to $x$ , move $4$ out of the integral.

$4 \int x^{4} d x$

Step 2

By the Power Rule, the integral of $x^{4}$ with respect to $x$ is $\frac{1}{5} x^{5}$ .

$4 (\frac{1}{5} x^{5} + C)$

Step 3

Simplify the answer.

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Step 3.1

Rewrite $4 (\frac{1}{5} x^{5} + C)$ as $4 (\frac{1}{5}) x^{5} + C$ .

$4 (\frac{1}{5}) x^{5} + C$

Step 3.2

Combine $4$ and $\frac{1}{5}$ .

$\frac{4}{5} x^{5} + C$