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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

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}

Popular Examples

integral from 0 to 1 of xsqrt(3-2x)

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

integral from 1 to 2 of t^2

\int_{1}^{2} t^{2} d t

integral from-pi to pi of sin(nx)sin(mx)

\int_{- π}^{π} sin (n x) sin (m x) d x

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

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

integral from 0 to 2 of (x+2)^3

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