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Popular Calculus >

integral of 2y-y^2

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

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integral of x*sqrt(x^2+4)

integral of (2x)/(sqrt(3-x^2))

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Frequently Asked Questions (FAQ)

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