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Popular >

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

Popular Examples

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

\int \frac{2 x - 2}{x ^{2}} d x

integral of-e^{3x-6}+1

\int - e^{3 x - 6} + 1 d x

integral of x\sqrt[4]{6x+1}

integral of xsqrt(x^2+11)

\int x x^{2} + 11 d x

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

\int x \cdot x^{2} + 4 d x

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