Calculus Examples

$\int z - \sqrt{15} d z$

Step 1

Split the single integral into multiple integrals.

$\int z d z + \int - \sqrt{15} d z$

Step 2

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

$\frac{1}{2} z^{2} + C + \int - \sqrt{15} d z$

Step 3

Apply the constant rule.

$\frac{1}{2} z^{2} + C - \sqrt{15} z + C$

Step 4

Simplify.

$\frac{1}{2} z^{2} - \sqrt{15} z + C$