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Popular >

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

Solution

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

Solution

9

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 = 12

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

= 12 - 3

Simplify

= 9

Popular Examples

integral from 0 to 3 of 1/(9-x^2)

\int_{0}^{3} \frac{1}{9 - x ^{2}} d x

integral from 1 to 3 of f(t)

\int_{1}^{3} f (t) d t

integral from 0 to pi/2 of cos^5(θ)

\int_{0}^{\frac{π}{2}} cos^{5} (θ) d θ

integral from-1 to 3 of x/(10-x^2)

\int_{- 1}^{3} \frac{x}{10 - x ^{2}} d x

integral from 1 to 4 of (8(ln(x))^3)/x

\int_{1}^{4} \frac{8 ( ln ( x ) ) ^{3}}{x} 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 9