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Popular >

integral from-4 to 4 of 9-x^2

Solution

\int_{- 4}^{4} 9 - x^{2} d x

Solution

\frac{88}{3}

+1

Decimal

29.33333 \dots

Solution steps

\int_{- 4}^{4} 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_{- 4}^{4} 9 d x - \int_{- 4}^{4} x^{2} d x

\int_{- 4}^{4} 9 d x = 72

\int_{- 4}^{4} x^{2} d x = \frac{128}{3}

= 72 - \frac{128}{3}

Simplify

72 - \frac{128}{3} : \frac{88}{3}

= \frac{88}{3}

Graph

Popular Examples

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\int_{2}^{6} 4 x - 8 d x

integral from 0 to 1 of u(1-sqrt(u))^2

\int_{0}^{1} u (1 - u)^{2} d u

integral from 1/3 to 3 of (4-4/(x^2))

\int_{\frac{1}{3}}^{3} (4 - \frac{4}{x ^{2}}) d x

integral from 0 to 1 of e^{11x-10}

\int_{0}^{1} e^{11 x - 10} d x

integral from 0 to 2 of 7x^2

\int_{0}^{2} 7 x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 4 of 9-x^2 ?
The integral from-4 to 4 of 9-x^2 is 88/3