Calculus Examples

$\frac{1}{2} \int 4^{x} d x$

Step 1

The integral of $4^{x}$ with respect to $x$ is $\frac{4^{x}}{\ln (4)}$ .

$\frac{1}{2} \cdot (\frac{4^{x}}{\ln (4)} + C)$

Step 2

Simplify the answer.

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Step 2.1

Rewrite $\frac{1}{2} (\frac{4^{x}}{\ln (4)} + C)$ as $\frac{1}{2} \cdot \frac{1}{\ln (4)} \cdot 4^{x} + C$ .

$\frac{1}{2} \cdot \frac{1}{\ln (4)} \cdot 4^{x} + C$

Step 2.2

Multiply $\frac{1}{2}$ by $\frac{1}{\ln (4)}$ .

$\frac{1}{2 \ln (4)} \cdot 4^{x} + C$