Calculus Examples

$3 x^{- 2}$

Step 1

Since $3$ is constant with respect to $x$ , move $3$ out of the integral.

$3 \int x^{- 2} d x$

Step 2

By the Power Rule, the integral of $x^{- 2}$ with respect to $x$ is $- x^{- 1}$ .

$3 (- x^{- 1} + C)$

Step 3

Simplify the answer.

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Step 3.1

Rewrite $3 (- x^{- 1} + C)$ as $3 (- \frac{1}{x}) + C$ .

$3 (- \frac{1}{x}) + C$

Step 3.2

Simplify.

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Step 3.2.1

Multiply $- 1$ by $3$ .

$- 3 \frac{1}{x} + C$

Step 3.2.2

Combine $- 3$ and $\frac{1}{x}$ .

$\frac{- 3}{x} + C$

Step 3.2.3

Move the negative in front of the fraction.

$- \frac{3}{x} + C$