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Popular >

integral of-72x^{-3}

Solution

\int - 72 x^{- 3} d x

Solution

\frac{36}{x ^{2}} + C

Solution steps

\int - 72 x^{- 3} d x

Take the constant out:

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

= - 72 \cdot \int x^{- 3} d x

Apply the Power Rule

: - \frac{1}{2 x ^{2}}

= - 72 (- \frac{1}{2 x ^{2}})

Simplify

- 72 (- \frac{1}{2 x ^{2}}) : \frac{36}{x ^{2}}

= \frac{36}{x ^{2}}

Add a constant to the solution

= \frac{36}{x ^{2}} + C

Graph

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integral of 1/(x^k)

\int \frac{1}{x ^{k}} d x

Frequently Asked Questions (FAQ)

What is the integral of-72x^{-3} ?
The integral of-72x^{-3} is (36)/(x^2)+C