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Popular >

integral from-2 to 2 of (8-2x^2)

Solution

\int_{- 2}^{2} (8 - 2 x^{2}) d x

Solution

\frac{64}{3}

+1

Solution steps

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

\int_{- 2}^{2} 8 d x = 32

\int_{- 2}^{2} 2 x^{2} d x = \frac{32}{3}

= 32 - \frac{32}{3}

Simplify

32 - \frac{32}{3} : \frac{64}{3}

= \frac{64}{3}

Popular Examples

integral from 0 to 3 of x/3

\int_{0}^{3} \frac{x}{3} d x

integral from-1 to 3 of x/(1+|x|)

\int_{- 1}^{3} \frac{x}{1 + ∣ x ∣} d x

integral from 0 to 2 of kx

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

integral from-1 to 4 of 3x+4-x^2

\int_{- 1}^{4} 3 x + 4 - x^{2} d x

integral from 1 to 9 of 2x+1/x

\int_{1}^{9} 2 x + \frac{1}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (8-2x^2) ?
The integral from-2 to 2 of (8-2x^2) is 64/3