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Popular >

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

Solution

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

Solution

\frac{71}{3}

+1

Decimal Notation

23.66666 \dots

Solution steps

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

Eliminate Absolutes

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

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

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

Simplify

\frac{7}{3} + \frac{32}{3} + \frac{32}{3} : \frac{71}{3}

= \frac{71}{3}

Popular Examples

integral from 1 to infinity of 3x^{-2}

\int_{1}^{\infty} 3 x^{- 2} d x

integral from 0 to pi of 7xsin(x)

\int_{0}^{π} 7 x sin (x) d x

integral from 7 to-5 of g(x)

\int_{7}^{- 5} g (x) d x

integral from 0 to 8 of 2xe^{-0.2x}

\int_{0}^{8} 2 x e^{- 0.2 x} d x

integral from 1 to 3 of 3xsqrt(2x+3)

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

Frequently Asked Questions (FAQ)

What is the integral from-3 to 4 of |x^2-4| ?
The integral from-3 to 4 of |x^2-4| is 71/3