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Popular >

integral from-3 to 6 of |x|

Solution

\int_{- 3}^{6} ∣ x ∣ d x

Solution

\frac{45}{2}

+1

Decimal

22.5

Solution steps

\int_{- 3}^{6} ∣ x ∣ d x

Eliminate Absolutes

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

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

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

= \frac{9}{2} + 18

Simplify

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

= \frac{45}{2}

Graph

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\int_{0}^{1} (x^{2} - x + \frac{1}{6})^{2} d x

Frequently Asked Questions (FAQ)

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