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Popular >

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

Solution

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

Solution

\frac{9}{2}

+1

Decimal

4.5

Solution steps

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

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

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

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

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

Simplify

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

= \frac{9}{2}

Graph

Popular Examples

integral from z^2 to 36-3z^2 of z

\int_{z^{2}}^{36 - 3 z^{2}} z d z

integral from 2 to 5 of 30x^3sqrt(1+x^2)

\int_{2}^{5} 30 x^{3} 1 + x^{2} d x

integral from 0 to L of sin^2(ax)

\int_{0}^{L} sin^{2} (a x) d x

integral from 0 to 1 of 2sqrt(x^2+1)

\int_{0}^{1} 2 x^{2} + 1 d x

integral from 5 to 8 of 1/(x-4)

\int_{5}^{8} \frac{1}{x - 4} d x

Frequently Asked Questions (FAQ)

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