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Popular >

integral from-1 to 1 of 2-2y^2

Solution

\int_{- 1}^{1} 2 - 2 y^{2} d y

Solution

\frac{8}{3}

+1

Decimal Notation

2.66666 \dots

Solution steps

\int_{- 1}^{1} 2 - 2 y^{2} d y

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} 2 d y - \int_{- 1}^{1} 2 y^{2} d y

\int_{- 1}^{1} 2 d y = 4

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

= 4 - \frac{4}{3}

Simplify

4 - \frac{4}{3} : \frac{8}{3}

= \frac{8}{3}

Popular Examples

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\int_{1}^{2} (1 + cos (x))^{2} d x

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\int_{0}^{\frac{7}{4}} \frac{1}{16 x ^{2} + 49} d x

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\int_{0}^{5} 75 x^{4} d x

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\int_{0}^{1} sin^{4} (x) d x

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\int_{0}^{1} 100 e^{- 0.01 t} d t

Frequently Asked Questions (FAQ)

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