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Popular >

integral of 4-y^2

Solution

\int 4 - y^{2} d y

Solution

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

Solution steps

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

\int 4 d y = 4 y

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

= 4 y - \frac{y ^{3}}{3}

Add a constant to the solution

= 4 y - \frac{y ^{3}}{3} + C

Popular Examples

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\int_{0}^{\infty} e^{- \frac{x}{3}} d x

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\frac{d}{d x} (e^{x} x^{e})

Frequently Asked Questions (FAQ)

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