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Popular Calculus >

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

- 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}

Graph

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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