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Popular >

integral of-2y^{-3}

Solution

\int - 2 y^{- 3} d y

Solution

\frac{1}{y ^{2}} + C

Solution steps

\int - 2 y^{- 3} d y

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 2 \cdot \int y^{- 3} d y

Apply the Power Rule

: - \frac{1}{2 y ^{2}}

= - 2 (- \frac{1}{2 y ^{2}})

Simplify

- 2 (- \frac{1}{2 y ^{2}}) : \frac{1}{y ^{2}}

= \frac{1}{y ^{2}}

Add a constant to the solution

= \frac{1}{y ^{2}} + C

Graph

Popular Examples

derivative of x^2y^3

\frac{d}{d x} (x^{2} y^{3})

laplacetransform (t-2)^2 laplace transform

(t - 2)^{2}

limit as h approaches+0 of (10^h-1)/h

h \to + 0 lim (\frac{1 0 ^{h} - 1}{h})

integral from 1 to 100 of (17)/(x^3)

\int_{1}^{100} \frac{17}{x ^{3}} d x

derivative of xe^x-x^2e^x

\frac{d}{d x} (x e^{x} - x^{2} e^{x})

Frequently Asked Questions (FAQ)

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