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Popular >

integral from-3 to 3 of 4-x^2

Solution

\int_{- 3}^{3} 4 - x^{2} d x

Solution

6

Solution steps

\int_{- 3}^{3} 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_{- 3}^{3} 4 d x - \int_{- 3}^{3} x^{2} d x

\int_{- 3}^{3} 4 d x = 24

\int_{- 3}^{3} x^{2} d x = 18

= 24 - 18

Simplify

= 6

Graph

Popular Examples

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\int_{2}^{3} \frac{3}{x ^{2}} d x

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\int_{0}^{s} 3 e^{x} d x

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\int_{1.1}^{1.3} e^{x} ln (x) d x

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\int_{0}^{4} \frac{x}{1 + 2 x + 1} d x

integral from 5 to 7 of x^2-2x-15

\int_{5}^{7} x^{2} - 2 x - 15 d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of 4-x^2 ?
The integral from-3 to 3 of 4-x^2 is 6