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Popular >

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

Solution

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

Solution

\frac{4}{3}

+1

Decimal

1.33333 \dots

Solution steps

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

\int_{2}^{3} x^{2} d x = \frac{19}{3}

\int_{2}^{3} 2 x d x = 5

= \frac{19}{3} - 5

Simplify

\frac{19}{3} - 5 : \frac{4}{3}

= \frac{4}{3}

Graph

Popular Examples

integral from-2 to 4 of x/2

\int_{- 2}^{4} \frac{x}{2} d x

integral from 0 to s of 2e^x

\int_{0}^{s} 2 e^{x} d x

integral from 0 to 1 of sqrt(5x+3)

\int_{0}^{1} 5 x + 3 d x

integral from 0 to 2 of 2x^3+3

\int_{0}^{2} 2 x^{3} + 3 d x

integral from-pi/2 to pi of cos(x)

\int_{- \frac{π}{2}}^{π} cos (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of (x^2-2x) ?
The integral from 2 to 3 of (x^2-2x) is 4/3