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Popular Calculus >

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

= - 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

Graph

Popular Examples

integral of 1/(r^4)

\int \frac{1}{r ^{4}} d r

integral of xe^{2x^2+1}

\int x e^{2 x^{2} + 1} d x

integral of xsqrt(9-4x^2)

\int x 9 - 4 x^{2} d x

integral of (x^8)/(sqrt(1+x^3))

\int \frac{x ^{8}}{1 + x ^{3}} d x

integral of ln(y

\int ln (d) y

Frequently Asked Questions (FAQ)

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