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Popular >

integral of-20x^{-5}

Solution

\int - 20 x^{- 5} d x

Solution

\frac{5}{x ^{4}} + C

Solution steps

\int - 20 x^{- 5} d x

Take the constant out:

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

= - 20 \cdot \int x^{- 5} d x

Apply the Power Rule

: - \frac{1}{4 x ^{4}}

= - 20 (- \frac{1}{4 x ^{4}})

Simplify

- 20 (- \frac{1}{4 x ^{4}}) : \frac{5}{x ^{4}}

= \frac{5}{x ^{4}}

Add a constant to the solution

= \frac{5}{x ^{4}} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of-20x^{-5} ?
The integral of-20x^{-5} is 5/(x^4)+C