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Popular >

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

Solution

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

Solution

\frac{9}{2}

+1

Solution steps

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

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

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

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

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

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

Simplify

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

= \frac{9}{2}

Popular Examples

integral from 0 to pi of |x|

\int_{0}^{π} ∣ x ∣ d x

integral from 0 to t of 2e^{2x}

\int_{0}^{t} 2 e^{2 x} d x

integral from 0 to 2 of e^{-st}t

\int_{0}^{2} e^{- s t} t d t

integral from 0 to 3 of 6e^{2x}

\int_{0}^{3} 6 e^{2 x} d x

integral from-2 to 3 of 7

\int_{- 2}^{3} 7 d x

Frequently Asked Questions (FAQ)

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