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Popular >

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

Solution

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

Solution

- \frac{2}{3}

+1

Decimal Notation

- 0.66666 \dots

Solution steps

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

\int_{1}^{2} x^{2} d x = \frac{7}{3}

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

= \frac{7}{3} - 3

Simplify

\frac{7}{3} - 3 : - \frac{2}{3}

= - \frac{2}{3}

Popular Examples

integral from 2 to 3 of x^2-6x+8

\int_{2}^{3} x^{2} - 6 x + 8 d x

integral from 2 to 9 of 3x^2

\int_{2}^{9} 3 x^{2} d x

integral from-1 to infinity of 9/(x^2)

\int_{- 1}^{\infty} \frac{9}{x ^{2}} d x

integral from 0 to 4 of 2xe^{-x}

\int_{0}^{4} 2 x e^{- x} d x

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

\int_{0}^{1} \frac{1}{x ^{2} + 4 x + 3} d x

Frequently Asked Questions (FAQ)

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