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Popular >

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

Solution

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

Solution

13

Solution steps

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

Eliminate Absolutes

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

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

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

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

Simplify

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

= 13

Popular Examples

integral from 1 to 6 of x^5ln(x)

\int_{1}^{6} x^{5} ln (x) d x

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

\int_{0}^{y} \frac{x}{x ^{2} + y ^{2}} d y

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

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

integral from 1 to 2 of (2/3+2z)

\int_{1}^{2} (\frac{2}{3} + 2 z) d z

integral from 0 to 1 of (1+6t)/(1+2t)

\int_{0}^{1} \frac{1 + 6 t}{1 + 2 t} d t

Frequently Asked Questions (FAQ)

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