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Popular >

integral of 9-y^2

Solution

\int 9 - y^{2} d y

Solution

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

Solution steps

\int 9 - 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 9 d y - \int y^{2} d y

\int 9 d y = 9 y

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

= 9 y - \frac{y ^{3}}{3}

Add a constant to the solution

= 9 y - \frac{y ^{3}}{3} + C

Popular Examples

integral of e^y-ye^{-y}

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

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\int \frac{e ^{\frac{1}{2}}}{x ^{2}} d x

integral of x^ne^{-x^2}

\int x^{n} e^{- x^{2}} d x

integral of-cos(θ)

\int - cos (θ) d θ

integral of 3/(y^2+y-2)

\int \frac{3}{y ^{2} + y - 2} d y

Frequently Asked Questions (FAQ)

What is the integral of 9-y^2 ?
The integral of 9-y^2 is 9y-(y^3)/3+C