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Popular >

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

Solution

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

Solution

\frac{9}{2}

+1

Decimal

4.5

Solution steps

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

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

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

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

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

Simplify

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

= \frac{9}{2}

Graph

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derivative of 1/2 e^{x/2}

\frac{d}{d x} (\frac{1}{2} e^{\frac{x}{2}})

y^{^{''}} + 4 y^{^{'}} = 5

Frequently Asked Questions (FAQ)

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