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Popular Calculus >

integral of (y^2-y)

Solution

\int (y^{2} - y) d y

Solution

\frac{y ^{3}}{3} - \frac{y ^{2}}{2} + C

Solution steps

\int y^{2} - y d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int y^{2} d y = \frac{y ^{3}}{3}

\int y d y = \frac{y ^{2}}{2}

= \frac{y ^{3}}{3} - \frac{y ^{2}}{2}

Add a constant to the solution

= \frac{y ^{3}}{3} - \frac{y ^{2}}{2} + C

Graph

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Frequently Asked Questions (FAQ)

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