Find the Integral (dx)/(x^3)

$\frac{d x}{x^{3}}$

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

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Factor $x$ out of $d x$ .

$\int \frac{x d}{x^{3}} d \cdot d$

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Since $\frac{1}{x^{2}}$ is constant with respect to $d$ , move $\frac{1}{x^{2}}$ out of the integral.

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

By the Power Rule, the integral of $d$ with respect to $d$ is $\frac{1}{2} d^{2}$ .

$\frac{1}{x^{2}} (\frac{1}{2} d^{2} + C)$

Simplify the answer.

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Simplify.

$\frac{1}{x^{2}} (\frac{1}{2} d^{2}) + C$

Simplify.

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Combine $\frac{1}{2}$ and $d^{2}$ .

$\frac{1}{x^{2}} \cdot \frac{d^{2}}{2} + C$

Multiply $\frac{1}{x^{2}}$ and $\frac{d^{2}}{2}$ .

$\frac{d^{2}}{x^{2} \cdot 2} + C$

Move $2$ to the left of $x^{2}$ .

$\frac{d^{2}}{2 x^{2}} + C$

Find the Integral (dx)/(x^3)

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