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Popular Calculus >

integral of x^{-3}

Solution

\int x^{- 3} d x

Solution

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

Solution steps

\int x^{- 3} d x

Apply the Power Rule

= - \frac{1}{2 x ^{2}}

Add a constant to the solution

= - \frac{1}{2 x ^{2}} + C

Graph

Popular Examples

(\partial)/(\partial x)(e^{-(x^7+y^7)})

\frac{\partial}{\partial x} (e^{- (x^{7} + y^{7})})

(dy)/(dx)=e^{x+y}+x^2e^y

\frac{d y}{d x} = e^{x + y} + x^{2} e^{y}

taylor (9-x^2)^{-1/2}

t a y l or (9 - x^{2})^{- \frac{1}{2}}

tangent of y=2x^2+9x-7

t an g e n t y = 2 x^{2} + 9 x - 7

derivative of 2(4e^{x^2}x^3+6e^{x^2}x)

\frac{d}{d x} (2 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x))

Frequently Asked Questions (FAQ)

What is the integral of x^{-3} ?
The integral of x^{-3} is -1/(2x^2)+C