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Popular >

integral of 8/(x^4)

Solution

\int \frac{8}{x ^{4}} d x

Solution

- \frac{8}{3 x ^{3}} + C

Solution steps

\int \frac{8}{x ^{4}} 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 ^{4}} d x

Apply the Power Rule

: - \frac{1}{3 x ^{3}}

= 8 (- \frac{1}{3 x ^{3}})

Simplify

8 (- \frac{1}{3 x ^{3}}) : - \frac{8}{3 x ^{3}}

= - \frac{8}{3 x ^{3}}

Add a constant to the solution

= - \frac{8}{3 x ^{3}} + C

Popular Examples

integral of \sqrt[10]{e^x}

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

\int (4 x^{3} - 2 x + 2) d x

limit as x approaches infinity of 5/(2x)

x \to \infty lim (\frac{5}{2 x})

derivative of cos(3x^2+1)

\frac{d}{d x} (cos (3 x^{2} + 1))

integral from 0 to infinity of 1/(x^2+1)

\int_{0}^{\infty} \frac{1}{x ^{2} + 1} d x

Frequently Asked Questions (FAQ)

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