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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

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 9 of (4x+10)

\int_{2}^{9} (4 x + 10) d x

integral from-1 to 1 of ((12)/(x^4)-3)

\int_{- 1}^{1} (\frac{12}{x ^{4}} - 3) d x

integral from 0 to 3 of (1+6w^2-10w^4)

\int_{0}^{3} (1 + 6 w^{2} - 10 w^{4}) d w

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

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

integral from 1 to 9 of 3x^2

\int_{1}^{9} 3 x^{2} 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