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Popular >

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

Solution

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

Solution

9

Solution steps

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

\int_{- 1}^{2} 4 d x = 12

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

= 12 - 3

Simplify

= 9

Popular Examples

integral from 0 to pi of (sin(x)-8)

\int_{0}^{π} (sin (x) - 8) d x

integral from 0 to pi/2 of 9cos^2(θ)

\int_{0}^{\frac{π}{2}} 9 cos^{2} (θ) d θ

integral from 0 to 4 of (8-t)sqrt(t)

\int_{0}^{4} (8 - t) t d t

integral from-infinity to 0 of x^3

\int_{- \infty}^{0} x^{3} d x

integral from 0 to 5 of x/(sqrt(x^2+11))

\int_{0}^{5} \frac{x}{x ^{2} + 11} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of 4-x^2 ?
The integral from-1 to 2 of 4-x^2 is 9