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Popular >

integral from 0 to 12 of |x-6|

Solution

\int_{0}^{12} ∣ x - 6 ∣ d x

Solution

36

Solution steps

\int_{0}^{12} ∣ x - 6 ∣ d x

Eliminate Absolutes

= \int_{0}^{6} - x + 6 d x + \int_{6}^{12} x - 6 d x

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

\int_{6}^{12} x - 6 d x = 18

= 18 + 18

Simplify

= 36

Graph

Popular Examples

integral from-4 to 0 of x^3+x^2-6x-6x

\int_{- 4}^{0} x^{3} + x^{2} - 6 x - 6 x d x

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

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

integral from 1 to 7 of 2x

\int_{1}^{7} 2 x d x

integral from pi/2 to 2pi of cos(x)

\int_{\frac{π}{2}}^{2 π} cos (x) d x

integral from-pi to pi of e^xe^{-inx}

\int_{- π}^{π} e^{x} e^{- in x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 12 of |x-6| ?
The integral from 0 to 12 of |x-6| is 36