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Popular Calculus >

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 0 to 1 of (3-8x^3+16x^7)

\int_{0}^{1} (3 - 8 x^{3} + 16 x^{7}) d x

integral from 3 to 10 of ln(x)

\int_{3}^{10} ln (x) d x

integral from-1 to 1 of 5/8 x(1-x^4)

\int_{- 1}^{1} \frac{5}{8} x (1 - x^{4}) d x

integral from 4 to 12 of xsqrt(1+x^2)

\int_{4}^{12} x 1 + x^{2} d x

integral from-4 to 0 of (8x^3-19x^2)

\int_{- 4}^{0} (8 x^{3} - 19 x^{2}) 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