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Popular >

integral from 2 to 4 of x^2-4

Solution

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

Solution

\frac{32}{3}

+1

Solution steps

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

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

\int_{2}^{4} 4 d x = 8

= \frac{56}{3} - 8

Simplify

\frac{56}{3} - 8 : \frac{32}{3}

= \frac{32}{3}

Popular Examples

integral from 0 to 5 of (x^2-4)

\int_{0}^{5} (x^{2} - 4) d x

integral from 0 to θ of (2x)/(θ^2)

\int_{0}^{θ} \frac{2 x}{θ ^{2}} d x

integral from 0 to pi of 3sec^2(x)

\int_{0}^{π} 3 sec^{2} (x) d x

integral from 0 to 1 of cos(x)+e^2

\int_{0}^{1} cos (x) + e^{2} d x

integral from 0 to b of e^{-x}

\int_{0}^{b} e^{- x} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 4 of x^2-4 ?
The integral from 2 to 4 of x^2-4 is 32/3