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Popular >

integral from-2 to 1 of x-6|x|

Solution

\int_{- 2}^{1} x - 6 ∣ x ∣ d x

Solution

- \frac{33}{2}

+1

Decimal

- 16.5

Solution steps

\int_{- 2}^{1} x - 6 ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 2}^{0} x - 6 (- x) d x + \int_{0}^{1} x - 6 x d x

\int_{- 2}^{0} x - 6 (- x) d x = - 14

\int_{0}^{1} x - 6 x d x = - \frac{5}{2}

= - 14 - \frac{5}{2}

Simplify

- 14 - \frac{5}{2} : - \frac{33}{2}

= - \frac{33}{2}

Graph

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\int_{0}^{3} x (x^{2} + 1)^{2} d x

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\int_{0}^{1} t \cdot e^{- s t} d t

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of x-6|x| ?
The integral from-2 to 1 of x-6|x| is -33/2