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Popular >

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

Solution

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

Solution

\frac{9}{2}

+1

Decimal Notation

4.5

Solution steps

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

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

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

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

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

Simplify

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

= \frac{9}{2}

Popular Examples

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e^{x} \frac{y d y}{d x} = e^{- y} + e^{- 2 x - y}

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integral of x/(7x-6)

\int \frac{x}{7 x - 6} d x

Frequently Asked Questions (FAQ)

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