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Popular >

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

Solution

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

Solution

- \frac{2}{3}

+1

Decimal

- 0.66666 \dots

Solution steps

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

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

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

= \frac{1}{3} - 1

Simplify

\frac{1}{3} - 1 : - \frac{2}{3}

= - \frac{2}{3}

Graph

Popular Examples

integral from-2 to 4 of |t^3-9t|

\int_{- 2}^{4} t^{3} - 9 t d t

integral from 0 to 3 of 15e^{3x}

\int_{0}^{3} 15 e^{3 x} d x

integral from 0 to 1 of (x+2)

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

integral from 1 to 5 of xln(x)

\int_{1}^{5} x ln (x) d x

integral from 2 to 3 of sqrt(9-r^2)r

\int_{2}^{3} 9 - r^{2} r d r

Frequently Asked Questions (FAQ)

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