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Popular >

integral from 2 to 6 of |x-3|

Solution

\int_{2}^{6} ∣ x - 3 ∣ d x

Solution

5

Solution steps

\int_{2}^{6} ∣ x - 3 ∣ d x

Eliminate Absolutes

= \int_{2}^{3} - x + 3 d x + \int_{3}^{6} x - 3 d x

\int_{2}^{3} - x + 3 d x = \frac{1}{2}

\int_{3}^{6} x - 3 d x = \frac{9}{2}

= \frac{1}{2} + \frac{9}{2}

Simplify

\frac{1}{2} + \frac{9}{2} : 5

= 5

Graph

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\int_{0}^{π} 2 x d x

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

Frequently Asked Questions (FAQ)

What is the integral from 2 to 6 of |x-3| ?
The integral from 2 to 6 of |x-3| is 5