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Popular Calculus >

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

Solution

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

Solution

- \frac{32}{3}

+1

Decimal

- 10.66666 \dots

Solution steps

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

\int_{- 4}^{4} 4 d x = 32

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

= 32 - \frac{128}{3}

Simplify

32 - \frac{128}{3} : - \frac{32}{3}

= - \frac{32}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-4 to 4 of 4-x^2 ?
The integral from-4 to 4 of 4-x^2 is -32/3