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Popular >

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

Solution

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

Solution

- \frac{4}{3}

+1

Decimal Notation

- 1.33333 \dots

Solution steps

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

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

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

= \frac{2}{3} - 2

Simplify

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

= - \frac{4}{3}

Popular Examples

integral from-pi to pi of xsin(ax)

\int_{- π}^{π} x sin (a x) d x

integral from 0 to 1 of (x+1/2)^2

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

integral from 0 to pi of (4e^x+4sin(x))

\int_{0}^{π} (4 e^{x} + 4 sin (x)) d x

integral from 2 to 6 of (x-3)

\int_{2}^{6} (x - 3) d x

integral from 1 to 7 of 4/x-4/(x^2)

\int_{1}^{7} \frac{4}{x} - \frac{4}{x ^{2}} d x

Frequently Asked Questions (FAQ)

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