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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

integral of (10x+6)/(x^2-2x-3)

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

integral of x^2sqrt(5-x)

\int x^{2} 5 - x d x

integral of 2/(100+2t)

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

integral of 4xsqrt(2-x)

\int 4 x 2 - x d x

integral of 1/(y(1+y^2))

\int \frac{1}{y ( 1 + y ^{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