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Popular >

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}}

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

Add a constant to the solution

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

Popular Examples

(\partial)/(\partial x)(x^7yz^2+6yz)

\frac{\partial}{\partial x} (x^{7} y z^{2} + 6 yz)

(\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}

limit as x approaches infinity of e^{7x}

x \to \infty lim (e^{7 x})

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

(9 - x^{2})^{- \frac{1}{2}}

Frequently Asked Questions (FAQ)

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