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Popular >

integral from-1 to 1 of 8-2x^2

Solution

\int_{- 1}^{1} 8 - 2 x^{2} d x

Solution

\frac{44}{3}

+1

Decimal Notation

14.66666 \dots

Solution steps

\int_{- 1}^{1} 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_{- 1}^{1} 8 d x - \int_{- 1}^{1} 2 x^{2} d x

\int_{- 1}^{1} 8 d x = 16

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

= 16 - \frac{4}{3}

Simplify

16 - \frac{4}{3} : \frac{44}{3}

= \frac{44}{3}

Popular Examples

integral from 2 to 4 of x^2-2x-8

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

integral from 0 to 2 of t^3sqrt(3t^2+1)

\int_{0}^{2} t^{3} 3 t^{2} + 1 d t

integral from 0 to 1 of 16x^3

\int_{0}^{1} 16 x^{3} d x

integral from 6 to infinity of 2x^{-3}

\int_{6}^{\infty} 2 x^{- 3} d x

integral from 0 to 5 of 0.5e^{-0.5x}

\int_{0}^{5} 0.5 e^{- 0.5 x} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of 8-2x^2 ?
The integral from-1 to 1 of 8-2x^2 is 44/3