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Popular >

integral from 2 to 4 of (x^2-2x)

Solution

\int_{2}^{4} (x^{2} - 2 x) d x

Solution

\frac{20}{3}

+1

Decimal Notation

6.66666 \dots

Solution steps

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

\int_{2}^{4} x^{2} d x = \frac{56}{3}

\int_{2}^{4} 2 x d x = 12

= \frac{56}{3} - 12

Simplify

\frac{56}{3} - 12 : \frac{20}{3}

= \frac{20}{3}

Popular Examples

integral from-1 to 0 of ln(x+1)

\int_{- 1}^{0} ln (x + 1) d x

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

integral from-infinity to 0 of 1/(x-1)

\int_{- \infty}^{0} \frac{1}{x - 1} d x

integral from 0 to pi of sin^6(x/2)

\int_{0}^{π} sin^{6} (\frac{x}{2}) d x

integral from 0 to a of sin^2(kx)

\int_{0}^{a} sin^{2} (k x) d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 4 of (x^2-2x) ?
The integral from 2 to 4 of (x^2-2x) is 20/3