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Popular >

integral from-1 to 2 of-2y^2+2y+4

Solution

\int_{- 1}^{2} - 2 y^{2} + 2 y + 4 d y

Solution

9

Solution steps

\int_{- 1}^{2} - 2 y^{2} + 2 y + 4 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} 2 y^{2} d y + \int_{- 1}^{2} 2 y d y + \int_{- 1}^{2} 4 d y

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

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

\int_{- 1}^{2} 4 d y = 12

= - 6 + 3 + 12

Simplify

= 9

Popular Examples

integral from-1 to 1 of cos^4(x)

\int_{- 1}^{1} cos^{4} (x) d x

integral from 0 to 4 of pi(x)^2

\int_{0}^{4} π (x)^{2} d x

integral from 0 to x^4 of e^t

\int_{0}^{x^{4}} e^{t} d t

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

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

integral from 0 to 3 of e^{-3x}

\int_{0}^{3} e^{- 3 x} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of-2y^2+2y+4 ?
The integral from-1 to 2 of-2y^2+2y+4 is 9