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Popular >

integral from 0 to 2 of (8-2x^2)

Solution

\int_{0}^{2} (8 - 2 x^{2}) d x

Solution

\frac{32}{3}

+1

Decimal

10.66666 \dots

Solution steps

\int_{0}^{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_{0}^{2} 8 d x - \int_{0}^{2} 2 x^{2} d x

\int_{0}^{2} 8 d x = 16

\int_{0}^{2} 2 x^{2} d x = \frac{16}{3}

= 16 - \frac{16}{3}

Simplify

16 - \frac{16}{3} : \frac{32}{3}

= \frac{32}{3}

Graph

Popular Examples

integral from x to x^2 of t^3

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

integral from 0 to 3 of-x+3

\int_{0}^{3} - x + 3 d x

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\int_{1}^{6} ∣ 3 x - 9 ∣ d x

integral from 1 to 2 of sqrt(1+x)

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

integral from 0 to 1 of (y+1)sqrt(1-y)

\int_{0}^{1} (y + 1) 1 - y d y

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (8-2x^2) ?
The integral from 0 to 2 of (8-2x^2) is 32/3