Calculus Examples

$\int 5 x d x$

Step 1

Since $5$ is constant with respect to $x$ , move $5$ out of the integral.

$5 \int x d x$

Step 2

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

$5 (\frac{1}{2} x^{2} + C)$

Step 3

Simplify the answer.

Tap for more steps...

Step 3.1

Rewrite $5 (\frac{1}{2} x^{2} + C)$ as $5 (\frac{1}{2}) x^{2} + C$ .

$5 (\frac{1}{2}) x^{2} + C$

Step 3.2

Combine $5$ and $\frac{1}{2}$ .

$\frac{5}{2} x^{2} + C$

Enter YOUR Problem