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Popular >

integral from-1 to 2 of y^2-y-2

Solution

\int_{- 1}^{2} y^{2} - y - 2 d y

Solution

- \frac{9}{2}

+1

Decimal Notation

- 4.5

Solution steps

\int_{- 1}^{2} y^{2} - 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_{- 1}^{2} y^{2} d y - \int_{- 1}^{2} y d y - \int_{- 1}^{2} 2 d y

\int_{- 1}^{2} y^{2} d y = 3

\int_{- 1}^{2} y d y = \frac{3}{2}

\int_{- 1}^{2} 2 d y = 6

= 3 - \frac{3}{2} - 6

Simplify

3 - \frac{3}{2} - 6 : - \frac{9}{2}

= - \frac{9}{2}

Popular Examples

integral from-1 to 1 of 3x^4

\int_{- 1}^{1} 3 x^{4} d x

integral from 0 to pi/2 of 3sin(x)cos(x)

\int_{0}^{\frac{π}{2}} 3 sin (x) cos (x) d x

integral from 1 to 4 of 2x^2+3x-1

\int_{1}^{4} 2 x^{2} + 3 x - 1 d x

integral from 1 to 2 of 2x(x-1)

\int_{1}^{2} 2 x (x - 1) d x

integral from 0 to 8 of 2bx^{-1/3}

\int_{0}^{8} 2 b x^{- \frac{1}{3}} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of y^2-y-2 ?
The integral from-1 to 2 of y^2-y-2 is -9/2