Calculus Examples

$\int (2^{t} + e^{π}) d t$

Step 1

Remove parentheses.

$\int 2^{t} + e^{π} d t$

Step 2

Split the single integral into multiple integrals.

$\int 2^{t} d t + \int e^{π} d t$

Step 3

The integral of $2^{t}$ with respect to $t$ is $\frac{2^{t}}{\ln (2)}$ .

$\frac{2^{t}}{\ln (2)} + C + \int e^{π} d t$

Step 4

Apply the constant rule.

$\frac{2^{t}}{\ln (2)} + C + e^{π} t + C$

Step 5

Simplify.

$\frac{1}{\ln (2)} \cdot 2^{t} + e^{π} t + C$