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Popular >

integral from 0 to 1 of (2-2x^2)

Solution

\int_{0}^{1} (2 - 2 x^{2}) d x

Solution

\frac{4}{3}

+1

Decimal

1.33333 \dots

Solution steps

\int_{0}^{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_{0}^{1} 2 d x - \int_{0}^{1} 2 x^{2} d x

\int_{0}^{1} 2 d x = 2

\int_{0}^{1} 2 x^{2} d x = \frac{2}{3}

= 2 - \frac{2}{3}

Simplify

2 - \frac{2}{3} : \frac{4}{3}

= \frac{4}{3}

Graph

Popular Examples

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

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

integral from 0 to 2 of (2x^3-2x^2-4x-1)

\int_{0}^{2} (2 x^{3} - 2 x^{2} - 4 x - 1) d x

integral from-4 to-1 of-2/x

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

integral from 2 to 3 of (x^2)/((x-1)^2)

\int_{2}^{3} \frac{x ^{2}}{( x - 1 ) ^{2}} d x

integral from 0 to x/3 of e^{x^2}

\int_{0}^{\frac{x}{3}} e^{x^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of (2-2x^2) ?
The integral from 0 to 1 of (2-2x^2) is 4/3