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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 Notation

- 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}

Popular Examples

integral from 0 to 2 of pix^4

\int_{0}^{2} π x^{4} d x

integral from 0 to 1 of (5x)/((x^2+4)^2)

\int_{0}^{1} \frac{5 x}{( x ^{2} + 4 ) ^{2}} d x

integral from-1 to 1 of x^3e^{x^4}

\int_{- 1}^{1} x^{3} e^{x^{4}} d x

integral from 3.3 to 8.3 of (12x^2-6x+4)

\int_{3.3}^{8.3} (12 x^{2} - 6 x + 4) d x

integral from 0 to 4 of 1/(1+sqrt(2x+1))

\int_{0}^{4} \frac{1}{1 + 2 x + 1} 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