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Popular >

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

Solution

\int_{1}^{3} (x^{2} - 2 x) d x

Solution

\frac{2}{3}

+1

Decimal

0.66666 \dots

Solution steps

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

\int_{1}^{3} x^{2} d x = \frac{26}{3}

\int_{1}^{3} 2 x d x = 8

= \frac{26}{3} - 8

Simplify

\frac{26}{3} - 8 : \frac{2}{3}

= \frac{2}{3}

Graph

Popular Examples

integral from-5 to 0 of 2-sqrt(25-x^2)

\int_{- 5}^{0} 2 - 25 - x^{2} d x

integral from-2 to 1 of 1/((11+5x)^2)

\int_{- 2}^{1} \frac{1}{( 11 + 5 x ) ^{2}} d x

integral from 1 to e^{-x^2 of}[ln(t)]^4

\int_{1}^{e^{- x^{2}}} [ln (t)]^{4} d t

integral from 0 to 2 of 2pi(7-x)(8-x^3)

\int_{0}^{2} 2 π (7 - x) (8 - x^{3}) d x

integral from 0 to 3 of t^3

\int_{0}^{3} t^{3} d t

Frequently Asked Questions (FAQ)

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