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Popular >

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

Popular Examples

integral of (tan(x/3)+cot(x/3))^2

\int (tan (\frac{x}{3}) + cot (\frac{x}{3}))^{2} d x

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\int \frac{8}{x 1 + 2 x} d x

integral of (2x-1)/((x-1)^2)

\int \frac{2 x - 1}{( x - 1 ) ^{2}} d x

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\int cos (x) ln ∣ sin (x) ∣ d x

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

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

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