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Popular >

integral from-1 to 2 of 9-x^2

Solution

\int_{- 1}^{2} 9 - x^{2} d x

Solution

24

Solution steps

\int_{- 1}^{2} 9 - 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} 9 d x - \int_{- 1}^{2} x^{2} d x

\int_{- 1}^{2} 9 d x = 27

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

= 27 - 3

Simplify

= 24

Popular Examples

integral from 1 to 10 of (20)/x

\int_{1}^{10} \frac{20}{x} d x

integral from-2 to 3 of 9-x^2

\int_{- 2}^{3} 9 - x^{2} d x

integral from e^1 to e^2 of 1/(xln(x))

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

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

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

integral from-1 to 2 of 5^{3x}

\int_{- 1}^{2} 5^{3 x} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of 9-x^2 ?
The integral from-1 to 2 of 9-x^2 is 24