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Popular >

integral of 8x^{-5}

Solution

\int 8 x^{- 5} d x

Solution

- \frac{2}{x ^{4}} + C

Solution steps

\int 8 x^{- 5} d x

Take the constant out:

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

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

Apply the Power Rule

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

= 8 (- \frac{1}{4 x ^{4}})

Simplify

8 (- \frac{1}{4 x ^{4}}) : - \frac{2}{x ^{4}}

= - \frac{2}{x ^{4}}

Add a constant to the solution

= - \frac{2}{x ^{4}} + C

Popular Examples

integral of 1/(sqrt(x^2+100))

\int \frac{1}{x ^{2} + 100} d x

ty^'=2y+2t^3sin(3t),y(pi/3)=0

t y^{^{'}} = 2 y + 2 t^{3} sin (3 t), y (\frac{π}{3}) = 0

integral of (e^{\sqrt[5]{t}})/(sqrt(t))

limit as x approaches 0-of (x+3)/x

x \to 0 - lim (\frac{x + 3}{x})

derivative of (x^4+2x^2/(x^2))

\frac{d}{d x} (\frac{x ^{4} + 2 x ^{2}}{x ^{2}})

Frequently Asked Questions (FAQ)

What is the integral of 8x^{-5} ?
The integral of 8x^{-5} is -2/(x^4)+C