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Popular >

integral from 2 to 6 of (x^2-4)

Solution

\int_{2}^{6} (x^{2} - 4) d x

Solution

\frac{160}{3}

+1

Decimal Notation

53.33333 \dots

Solution steps

\int_{2}^{6} x^{2} - 4 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}^{6} x^{2} d x - \int_{2}^{6} 4 d x

\int_{2}^{6} x^{2} d x = \frac{208}{3}

\int_{2}^{6} 4 d x = 16

= \frac{208}{3} - 16

Simplify

\frac{208}{3} - 16 : \frac{160}{3}

= \frac{160}{3}

Popular Examples

integral from 0 to pi/2 of θarctan(θ)

\int_{0}^{\frac{π}{2}} θ arctan (θ) d θ

integral from 0 to 3 of x*(2x)/9

\int_{0}^{3} x \cdot \frac{2 x}{9} d x

integral from 0 to 1 of (3x)/(x^2+1)

\int_{0}^{1} \frac{3 x}{x ^{2} + 1} d x

integral from 0 to pi/4 of (tan(x))^4

\int_{0}^{\frac{π}{4}} (tan (x))^{4} d x

integral from 1 to 4 of sin(x)

\int_{1}^{4} sin (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 6 of (x^2-4) ?
The integral from 2 to 6 of (x^2-4) is 160/3