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Popular >

integral of y^{-3}

Solution

\int y^{- 3} d y

Solution

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

Solution steps

\int y^{- 3} d y

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

(\partial)/(\partial y)(xy^2arctan(z))

\frac{\partial}{\partial y} (x y^{2} arctan (z))

(4x+2y)dx+(2x+2y)dy=0

(4 x + 2 y) d x + (2 x + 2 y) d y = 0

area x^2+y^2=1,y=1-x area

x^{2} + y^{2} = 1, y = 1 - x

sum from n=1 to infinity of 3/(n^3)

n = 1 \sum \infty \frac{3}{n ^{3}}

tangent of y= 9/(sqrt(x-2)),(3,9)tangent of

y = \frac{9}{x - 2}, (3, 9)

Frequently Asked Questions (FAQ)

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