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Popular >

integral of 8/(x^5)

Solution

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

Solution

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

Solution steps

\int \frac{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 \frac{1}{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

limit as x approaches 3 of (x^2-9)/(x^2-10x+21)

x \to 3 lim (\frac{x ^{2} - 9}{x ^{2} - 10 x + 21})

integral of 1/()

\int \frac{1}{d x} d t

derivative of y=e^{-x}sin(x)derivative of

y = e^{- x} sin (x)

integral of-1/(1+y^2)

\int - \frac{1}{1 + y ^{2}} d y

integral of x^{10/3}

\int x^{\frac{10}{3}} d x

Frequently Asked Questions (FAQ)

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