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Popular >

integral from-6 to 3 of |x|

Solution

\int_{- 6}^{3} ∣ x ∣ d x

Solution

\frac{45}{2}

+1

Decimal

22.5

Solution steps

\int_{- 6}^{3} ∣ x ∣ d x

Eliminate Absolutes

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

\int_{- 6}^{0} - x d x = 18

\int_{0}^{3} x d x = \frac{9}{2}

= 18 + \frac{9}{2}

Simplify

18 + \frac{9}{2} : \frac{45}{2}

= \frac{45}{2}

Graph

Popular Examples

integral from 1 to 2 of (x^2+2)

\int_{1}^{2} (x^{2} + 2) d x

integral from-2 to 2 of x^3-2x^2+7

\int_{- 2}^{2} x^{3} - 2 x^{2} + 7 d x

integral from 1 to 4 of 8

\int_{1}^{4} 8 d x

integral from-1 to 2 of x^3-4x

\int_{- 1}^{2} x^{3} - 4 x d x

integral from 1 to 4 of 2^{3x}

\int_{1}^{4} 2^{3 x} d x

Frequently Asked Questions (FAQ)

What is the integral from-6 to 3 of |x| ?
The integral from-6 to 3 of |x| is 45/2