What is the integral of-(12)/(x^4) ?

The integral of-(12)/(x^4) is 4/(x^3)+C

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integral of-(12)/(x^4)

\int - \frac{12}{x ^{4}} d x

\frac{4}{x ^{3}} + C

Solution steps

\int - \frac{12}{x ^{4}} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 12 \cdot \int \frac{1}{x ^{4}} d x

Apply the Power Rule

: - \frac{1}{3 x ^{3}}

= - 12 (- \frac{1}{3 x ^{3}})

Simplify

- 12 (- \frac{1}{3 x ^{3}}) : \frac{4}{x ^{3}}

= \frac{4}{x ^{3}}

Add a constant to the solution

= \frac{4}{x ^{3}} + C

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