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Popular >

integral of 4y-y^2

Solution

\int 4 y - y^{2} d y

Solution

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

Solution steps

\int 4 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 4 y d y - \int y^{2} d y

\int 4 y d y = 2 y^{2}

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 4y-y^2 ?
The integral of 4y-y^2 is 2y^2-(y^3)/3+C