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Popular >

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

Solution

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

Solution

\frac{2}{3}

+1

Decimal Notation

0.66666 \dots

Solution steps

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

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

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

= \frac{2}{3} - 0

Simplify

= \frac{2}{3}

Popular Examples

integral from 0 to 2pi of 2cos^2(t)

\int_{0}^{2 π} 2 cos^{2} (t) d t

integral from 1 to 4 of (sqrt(ln(x)))/x

\int_{1}^{4} \frac{ln ( x )}{x} d x

integral from-6 to 4 of-x^2-3x

\int_{- 6}^{4} - x^{2} - 3 x d x

integral from 1 to 32 of x^{-8/5}

\int_{1}^{32} x^{- \frac{8}{5}} d x

integral from 0 to 1 of e^{1-x}

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

Frequently Asked Questions (FAQ)

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