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Popular >

integral of-8/(x^3)

Solution

\int - \frac{8}{x ^{3}} d x

Solution

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

Solution steps

\int - \frac{8}{x ^{3}} d x

Take the constant out:

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

= - 8 \cdot \int \frac{1}{x ^{3}} d x

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

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

Popular Examples

integral of 2cos(x)-3sin(x)

\int 2 cos (x) - 3 sin (x) d x

integral of cos(xy^{-1/2})

\int cos (x y^{- \frac{1}{2}}) d x

integral of 2(2x+8)^6

\int 2 (2 x + 8)^{6} d x

integral of x^2sqrt(4-x^3)

\int x^{2} 4 - x^{3} d x

integral of cos^3(8x)

\int cos^{3} (8 x) d x

Frequently Asked Questions (FAQ)

What is the integral of-8/(x^3) ?
The integral of-8/(x^3) is 4/(x^2)+C