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Popular >

integral from 0 to 2 of 2y-y^2

Solution

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

Solution

\frac{4}{3}

+1

Decimal Notation

1.33333 \dots

Solution steps

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

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

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

= 4 - \frac{8}{3}

Simplify

4 - \frac{8}{3} : \frac{4}{3}

= \frac{4}{3}

Popular Examples

integral from 1 to 5 of 7/x

\int_{1}^{5} \frac{7}{x} d x

integral from 0 to 2 of 15x^2+14x-8

\int_{0}^{2} 15 x^{2} + 14 x - 8 d x

integral from 0 to 4 of (x-1)/(x+1)

\int_{0}^{4} \frac{x - 1}{x + 1} d x

integral from 0 to 1 of x(3x^2)

\int_{0}^{1} x (3 x^{2}) d x

integral from 0 to 16 of x

\int_{0}^{16} x d x

Frequently Asked Questions (FAQ)

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