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Popular >

integral from 2 to 4 of 4-x^2

Solution

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

Solution

- \frac{32}{3}

+1

Decimal

- 10.66666 \dots

Solution steps

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

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

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

= 8 - \frac{56}{3}

Simplify

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

= - \frac{32}{3}

Graph

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

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\int_{x}^{3 π} cos (x^{2}) d x

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

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

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

integral from 0 to (2pi)/3 of cos(2t)

\int_{0}^{\frac{2 π}{3}} cos (2 t) d t

Frequently Asked Questions (FAQ)

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