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Popular >

integral of x^{-4}

Solution

\int x^{- 4} d x

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

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

\frac{x ^{2} + 1}{x ^{3} - 1}

x^2y^{''}-xy^'+y=2x

x^{2} y^{^{''}} - x y^{^{'}} + y = 2 x

derivative of x+sqrt(x)+3

\frac{d}{d x} (x + x + 3)

integral from 3 to 7 of xsqrt(x-3)

\int_{3}^{7} x x - 3 d x

derivative of 1/2 ln((1+x)/(1-x))derivative of

\frac{1}{2} ln (\frac{1 + x}{1 - x})

Frequently Asked Questions (FAQ)

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