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Popular >

integral from-3 to 2 of |4-x^2|

Solution

\int_{- 3}^{2} 4 - x^{2} d x

Solution

13

Solution steps

\int_{- 3}^{2} 4 - x^{2} d x

Eliminate Absolutes

= \int_{- 3}^{- 2} - 4 + x^{2} d x + \int_{- 2}^{2} 4 - x^{2} d x

\int_{- 3}^{- 2} - 4 + x^{2} d x = \frac{7}{3}

\int_{- 2}^{2} 4 - x^{2} d x = \frac{32}{3}

= \frac{7}{3} + \frac{32}{3}

Simplify

\frac{7}{3} + \frac{32}{3} : 13

= 13

Popular Examples

integral from 2 to ln(x) of (e^t)/t

\int_{2}^{l n (x)} \frac{e ^{t}}{t} d t

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

\int_{0}^{4} \frac{4 x}{x ^{2} - 4} d x

integral from-2 to 2 of t^3(1+t^4)^3

\int_{- 2}^{2} t^{3} (1 + t^{4})^{3} d t

integral from 0 to 1 of sqrt(1+4t^2)

\int_{0}^{1} 1 + 4 t^{2} d t

integral from 1 to 2 of (1+ln(x))/x

\int_{1}^{2} \frac{1 + ln ( x )}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 2 of |4-x^2| ?
The integral from-3 to 2 of |4-x^2| is 13