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Popular >

integral of 1/(x^{-2)}

Solution

\int \frac{1}{x ^{- 2}} d x

Solution

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

Solution steps

\int \frac{1}{x ^{- 2}} d x

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

sum from n=6 to infinity of e^{7-6n}

n = 6 \sum \infty e^{7 - 6 n}

(\partial)/(\partial x)((x-y)^2)

\frac{\partial}{\partial x} ((x - y)^{2})

(\partial)/(\partial y)(-1/y sin(x/y))

\frac{\partial}{\partial y} (- \frac{1}{y} sin (\frac{x}{y}))

(d^2)/(dx^2)(5/(6x^4))

\frac{d ^{2}}{d x ^{2}} (\frac{5}{6 x ^{4}})

derivative of (x-1sin(x))

\frac{d}{d x} ((x - 1) sin (x))

Frequently Asked Questions (FAQ)

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