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Popular >

integral from 0 to 6 of |3-x|

Solution

\int_{0}^{6} ∣ 3 - x ∣ d x

Solution

9

Solution steps

\int_{0}^{6} ∣ 3 - x ∣ d x

Eliminate Absolutes

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

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

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

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

Simplify

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

= 9

Popular Examples

integral from 3x^2-6x to 2x-x^2 of (3x)

\int_{3 x^{2} - 6 x}^{2 x - x^{2}} (3 x) d x

integral from 2 to 4 of 3x^3

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

integral from 0 to 1 of sqrt(1+4x)

\int_{0}^{1} 1 + 4 x d x

integral from 2 to 3 of 1/(x+1)

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

integral from 0 to 1 of e^{e^x}e^x

\int_{0}^{1} e^{e^{x}} e^{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 6 of |3-x| ?
The integral from 0 to 6 of |3-x| is 9