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Popular Calculus >

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

Graph

Popular Examples

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\int \frac{10 x + 6}{x ^{2} - 2 x - 3} d x

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\int \frac{2}{100 + 2 t} d t

integral of (7x)/((6-x^2)^3)

\int \frac{7 x}{( 6 - x ^{2} ) ^{3}} d x

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\int 3 sin (x) e^{x} d x

integral of (5-2y)/(y(y-1)^2)

\int \frac{5 - 2 y}{y ( y - 1 ) ^{2}} d y

Frequently Asked Questions (FAQ)

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