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Popular >

integral of 8/(u^5)

Solution

\int \frac{8}{u ^{5}} d u

Solution

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

Solution steps

\int \frac{8}{u ^{5}} d u

Take the constant out:

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

= 8 \cdot \int \frac{1}{u ^{5}} d u

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of x/(sqrt(25+x))

\int \frac{x}{25 + x} d x

integral of ((x+3))/(\sqrt[3]{x^2+6x)}

\int \frac{( x + 3 )}{3 x ^{2} + 6 x} d x

integral of tan^2(x-1)

\int tan^{2} (x - 1) d x

integral of ((x+2)^2)/(x-2)

\int \frac{( x + 2 ) ^{2}}{x - 2} d x

integral of (ye^{xy}+y/(x^2))

\int (y e^{x y} + \frac{y}{x ^{2}}) d x

Frequently Asked Questions (FAQ)

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