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Popular >

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

Solution

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

Solution

\frac{8}{3}

+1

Decimal Notation

2.66666 \dots

Solution steps

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

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

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

= 4 - \frac{4}{3}

Simplify

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

= \frac{8}{3}

Popular Examples

y^{''}+2y^'+y=x^2e^{-x}

y^{^{''}} + 2 y^{^{'}} + y = x^{2} e^{- x}

derivative of tan(t)derivative of

tan (t)

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\int_{1}^{4} \frac{1}{6 - x} d x

f(x)=arcsin(x^2)

f (x) = arcsin (x^{2})

Frequently Asked Questions (FAQ)

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