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Popular >

integral of 5x^{-3}

Solution

\int 5 x^{- 3} d x

Solution

- \frac{5}{2 x ^{2}} + C

Solution steps

\int 5 x^{- 3} d x

Take the constant out:

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

= 5 \cdot \int x^{- 3} d x

Apply the Power Rule

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

= 5 (- \frac{1}{2 x ^{2}})

Simplify

5 (- \frac{1}{2 x ^{2}}) : - \frac{5}{2 x ^{2}}

= - \frac{5}{2 x ^{2}}

Add a constant to the solution

= - \frac{5}{2 x ^{2}} + C

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Frequently Asked Questions (FAQ)

What is the integral of 5x^{-3} ?
The integral of 5x^{-3} is -5/(2x^2)+C