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Popular >

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

Solution

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

Solution

\frac{92}{3}

+1

Decimal

30.66666 \dots

Solution steps

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

\int_{- 2}^{2} 9 d x = 36

\int_{- 2}^{2} x^{2} d x = \frac{16}{3}

= 36 - \frac{16}{3}

Simplify

36 - \frac{16}{3} : \frac{92}{3}

= \frac{92}{3}

Graph

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\int_{0}^{π} co x (3 x) d x

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\int_{1}^{2} \frac{2 x}{( x ^{2} + 3 ) ^{2}} d x

integral from-1 to 3 of x^2-2x+3

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

integral from 2 to 5 of (sqrt(x)+5)

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

integral from 6 to 7 of e^{6-x}

\int_{6}^{7} e^{6 - x} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of 9-x^2 ?
The integral from-2 to 2 of 9-x^2 is 92/3