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Popular >

integral of x^{-4}

Solution

integral

x^{- 4}

Solution

- \frac{1}{3 x ^{3}} + C

Solution steps

\int x^{- 4} d x

Apply the Power Rule

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

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

Add a constant to the solution

= - \frac{1}{3 x ^{3}} + C

Popular Examples

integral of (tan(3x)-cot(3x))/(sin(3x))

\int \frac{tan ( 3 x ) - cot ( 3 x )}{sin ( 3 x )} d x

integral of (\sqrt[3]{e^x})^4

integral of 1/((x+2)ln(x+2))

\int \frac{1}{( x + 2 ) ln ( x + 2 )} d x

integral of cos^3(x)-1

\int cos^{3} (x) - 1 d x

integral of ((1-x+2x^2-x^3)/(x(x^2+1)))

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

Frequently Asked Questions (FAQ)

What is the integral of x^{-4} ?
The integral of x^{-4} is -1/(3x^3)+C