Calculus Examples

$\int \frac{e^{3 x}}{e^{2 x}} d x$

Step 1

Cancel the common factor of $e^{3 x}$ and $e^{2 x}$ .

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Step 1.1

Factor $e^{2 x}$ out of $e^{3 x}$ .

$\int \frac{e^{2 x} e^{x}}{e^{2 x}} d x$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Multiply by $1$ .

$\int \frac{e^{2 x} e^{x}}{e^{2 x} \cdot 1} d x$

Step 1.2.2

Cancel the common factor.

$\int \frac{e^{2 x} e^{x}}{e^{2 x} \cdot 1} d x$

Step 1.2.3

Rewrite the expression.

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

Step 1.2.4

Divide $e^{x}$ by $1$ .

$\int e^{x} d x$

Step 2

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

$e^{x} + C$