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Popular Calculus >

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

Solution

\int_{- 2}^{3} x - 4 ∣ x ∣ d x

Solution

- \frac{47}{2}

+1

Decimal

- 23.5

Solution steps

\int_{- 2}^{3} x - 4 ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 2}^{0} x - 4 (- x) d x + \int_{0}^{3} x - 4 x d x

\int_{- 2}^{0} x - 4 (- x) d x = - 10

\int_{0}^{3} x - 4 x d x = - \frac{27}{2}

= - 10 - \frac{27}{2}

Simplify

- 10 - \frac{27}{2} : - \frac{47}{2}

= - \frac{47}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of x-4|x| ?
The integral from-2 to 3 of x-4|x| is -47/2