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Popular >

integral of-1/(y^3)

Solution

\int - \frac{1}{y ^{3}} d y

Solution

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

Solution steps

\int - \frac{1}{y ^{3}} d y

Take the constant out:

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

= - \int \frac{1}{y ^{3}} d y

Apply the Power Rule

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

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

Simplify

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (x^3+1)^4x^2

\int (x^{3} + 1)^{4} x^{2} d x

integral of 1/(T^2)

\int \frac{1}{T ^{2}} d T

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

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

integral of 8/x-5e^x

\int \frac{8}{x} - 5 e^{x} d x

integral of (7x)/(5x^2-3)

\int \frac{7 x}{5 x ^{2} - 3} d x

Frequently Asked Questions (FAQ)

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