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Popular >

integral of 5x^{-5}

Solution

\int 5 x^{- 5} d x

Solution

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

Solution steps

\int 5 x^{- 5} d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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