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Popular >

integral from 0 to 9 of |x-6|

Solution

\int_{0}^{9} ∣ x - 6 ∣ d x

Solution

\frac{45}{2}

+1

Decimal

22.5

Solution steps

\int_{0}^{9} ∣ x - 6 ∣ d x

Eliminate Absolutes

= \int_{0}^{6} - x + 6 d x + \int_{6}^{9} x - 6 d x

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

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

= 18 + \frac{9}{2}

Simplify

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

= \frac{45}{2}

Graph

Popular Examples

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\int_{0}^{\frac{π}{4}} sec (t) tan (t) d t

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\int_{- 2}^{0} 2 x x^{2} + 9 d x

integral from-2 to 0 of (2+x^2)

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

integral from 0 to h of y^2

\int_{0}^{h} y^{2} d y

integral from-1 to 1 of 1/(3x-4)

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 9 of |x-6| ?
The integral from 0 to 9 of |x-6| is 45/2