Calculus Examples

$\int 5 e^{z} + 4 d z$

Step 1

Split the single integral into multiple integrals.

$\int 5 e^{z} d z + \int 4 d z$

Step 2

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

$5 \int e^{z} d z + \int 4 d z$

Step 3

The integral of $e^{z}$ with respect to $z$ is $e^{z}$ .

$5 (e^{z} + C) + \int 4 d z$

Step 4

Apply the constant rule.

$5 (e^{z} + C) + 4 z + C$

Step 5

Simplify.

$5 e^{z} + 4 z + C$