Calculus Examples

$e^{\int \frac{1}{x} d x}$

Step 1

The integral of $\frac{1}{x}$ with respect to $x$ is $\ln (| x |)$ .

$e^{\ln (| x |) + C}$

Step 2

Simplify the answer.

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Step 2.1

Simplify.

$e^{\ln (| x |)} + C$

Step 2.2

Exponentiation and log are inverse functions.

$| x | + C$