Calculus Examples

$\int 6 e^{t} d t$

Step 1

Since $6$ is constant with respect to $t$ , move $6$ out of the integral.

$6 \int e^{t} d t$

Step 2

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

$6 (e^{t} + C)$

Step 3

Simplify.

$6 e^{t} + C$