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Popular >

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

Solution

\int_{- 3}^{2} - 3 ∣ x ∣ d x

Solution

- \frac{39}{2}

+1

Decimal

- 19.5

Solution steps

\int_{- 3}^{2} - 3 ∣ x ∣ d x

Eliminate Absolutes

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

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

\int_{0}^{2} - 3 x d x = - 6

= - \frac{27}{2} - 6

Simplify

- \frac{27}{2} - 6 : - \frac{39}{2}

= - \frac{39}{2}

Graph

Popular Examples

integral from-1 to 1 of x^{299}

\int_{- 1}^{1} x^{299} d x

integral from 0 to 1 of 2e^{-x}

\int_{0}^{1} 2 e^{- x} d x

integral from 0 to 3 of x^2-x

\int_{0}^{3} x^{2} - x d x

integral from 0 to 1 of e^{2x}x

\int_{0}^{1} e^{2 x} x d x

integral from-pi/3 to pi/3 of 6sec^2(x)

\int_{- \frac{π}{3}}^{\frac{π}{3}} 6 sec^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 2 of-3|x| ?
The integral from-3 to 2 of-3|x| is -39/2