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Popular >

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

Solution

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

Solution

- \frac{8}{3}

+1

Solution steps

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

\int_{- 2}^{2} y^{2} d y = \frac{16}{3}

\int_{- 2}^{2} 2 d y = 8

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

= \frac{16}{3} - 8 - 0

Simplify

\frac{16}{3} - 8 - 0 : - \frac{8}{3}

= - \frac{8}{3}

Popular Examples

integral of (5-50x)/(sqrt(36-25x^2))

\int \frac{5 - 50 x}{36 - 25 x ^{2}} d x

integral of (x^2)/2-2x

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

integral of 1/((x+1)(3x+1))

\int \frac{1}{( x + 1 ) ( 3 x + 1 )} d x

integral of x/(sqrt(5+x-x^2))

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

integral of xsqrt(2x+3)

\int x 2 x + 3 d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of y^2-2-y ?
The integral from-2 to 2 of y^2-2-y is -8/3