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Popular >

integral from 0 to 2 of (4-y^2)

Solution

\int_{0}^{2} (4 - y^{2}) d y

Solution

\frac{16}{3}

+1

Decimal

5.33333 \dots

Solution steps

\int_{0}^{2} 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_{0}^{2} 4 d y - \int_{0}^{2} y^{2} d y

\int_{0}^{2} 4 d y = 8

\int_{0}^{2} y^{2} d y = \frac{8}{3}

= 8 - \frac{8}{3}

Simplify

8 - \frac{8}{3} : \frac{16}{3}

= \frac{16}{3}

Graph

Popular Examples

integral from 0 to 11 of |9-x|

\int_{0}^{11} ∣ 9 - x ∣ d x

integral from 0 to 1 of y^2(1-y^{3/2})

\int_{0}^{1} y^{2} (1 - y^{\frac{3}{2}}) d y

integral from 0 to 2 of sqrt(x^2-2x+1)

\int_{0}^{2} x^{2} - 2 x + 1 d x

integral from 0 to pi/4 of 3sec(θ)tan(θ)

\int_{0}^{\frac{π}{4}} 3 sec (θ) tan (θ) d θ

integral from 2 to 4 of 3

\int_{2}^{4} 3 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (4-y^2) ?
The integral from 0 to 2 of (4-y^2) is 16/3