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Popular >

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

Solution

\int_{- 2}^{3} - 3 ∣ x ∣ d x

Solution

- \frac{39}{2}

+1

Decimal

- 19.5

Solution steps

\int_{- 2}^{3} - 3 ∣ x ∣ d x

Eliminate Absolutes

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

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

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

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

Simplify

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

= - \frac{39}{2}

Graph

Popular Examples

integral from 0 to 3 of 3x^2+1

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

integral from 0 to 1 of e^x-ex

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

integral from 3 to 5 of (y-3)/(y-2)

\int_{3}^{5} \frac{y - 3}{y - 2} d y

integral from 0 to pi of 2x*sin(x)

\int_{0}^{π} 2 x \cdot sin (x) d x

integral from 0 to 2pi of cos(x)sin^4(x)

\int_{0}^{2 π} cos (x) sin^{4} (x) d x

Frequently Asked Questions (FAQ)

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