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Popular Calculus >

integral from-2 to-1 of 4-x^2

Solution

\int_{- 2}^{- 1} 4 - x^{2} d x

Solution

\frac{5}{3}

+1

Decimal

1.66666 \dots

Solution steps

\int_{- 2}^{- 1} 4 - 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_{- 2}^{- 1} 4 d x - \int_{- 2}^{- 1} x^{2} d x

\int_{- 2}^{- 1} 4 d x = 4

\int_{- 2}^{- 1} x^{2} d x = \frac{7}{3}

= 4 - \frac{7}{3}

Simplify

4 - \frac{7}{3} : \frac{5}{3}

= \frac{5}{3}

Graph

Popular Examples

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\int_{1}^{5} (2 x + 1) ln (x + 1) d x

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\int_{0}^{x} sin (t^{3}) d t

integral from 1 to 2 of 8-2x

\int_{1}^{2} 8 - 2 x d x

integral from pi/3 to pi of sin(2x)

\int_{\frac{π}{3}}^{π} sin (2 x) d x

integral from-pi to 0 of 6x^2

\int_{- π}^{0} 6 x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to-1 of 4-x^2 ?
The integral from-2 to-1 of 4-x^2 is 5/3