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Popular >

integral of-5x^{-8}

Solution

\int - 5 x^{- 8} d x

Solution

\frac{5}{7 x ^{7}} + C

Solution steps

\int - 5 x^{- 8} d x

Take the constant out:

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

= - 5 \cdot \int x^{- 8} d x

Apply the Power Rule

: - \frac{1}{7 x ^{7}}

= - 5 (- \frac{1}{7 x ^{7}})

Simplify

- 5 (- \frac{1}{7 x ^{7}}) : \frac{5}{7 x ^{7}}

= \frac{5}{7 x ^{7}}

Add a constant to the solution

= \frac{5}{7 x ^{7}} + C

Graph

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\frac{d}{d x} (- \frac{x ^{3} + 8 x ^{2} + 19 x + 12}{( x + 20 )})

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\int \frac{e ^{- l n (1 - x^{2})}}{x ^{2}} d x

(dy)/(dx)=((x-2))/(y+1)

\frac{d y}{d x} = \frac{( x - 2 )}{y + 1}

Frequently Asked Questions (FAQ)

What is the integral of-5x^{-8} ?
The integral of-5x^{-8} is 5/(7x^7)+C