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Popular >

integral from 0 to 7 of |x-6|

Solution

\int_{0}^{7} ∣ x - 6 ∣ d x

Solution

\frac{37}{2}

+1

Solution steps

\int_{0}^{7} ∣ x - 6 ∣ d x

Eliminate Absolutes

= \int_{0}^{6} - x + 6 d x + \int_{6}^{7} x - 6 d x

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

\int_{6}^{7} x - 6 d x = \frac{1}{2}

= 18 + \frac{1}{2}

Simplify

18 + \frac{1}{2} : \frac{37}{2}

= \frac{37}{2}

Popular Examples

integral from 0 to pi of (3e^x+7sin(x))

\int_{0}^{π} (3 e^{x} + 7 sin (x)) d x

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

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

integral from 0 to 2pi of (cos^2(x))

\int_{0}^{2 π} (cos^{2} (x)) d x

integral from 4 to 7 of-9log_{3}(x)

\int_{4}^{7} - 9 lo g_{3} (x) d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 7 of |x-6| ?
The integral from 0 to 7 of |x-6| is 37/2