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Popular >

integral from 0 to 13 of |11-x|

Solution

\int_{0}^{13} ∣ 11 - x ∣ d x

Solution

\frac{125}{2}

+1

Decimal Notation

62.5

Solution steps

\int_{0}^{13} ∣ 11 - x ∣ d x

Eliminate Absolutes

= \int_{0}^{11} 11 - x d x + \int_{11}^{13} - 11 + x d x

\int_{0}^{11} 11 - x d x = \frac{121}{2}

\int_{11}^{13} - 11 + x d x = 2

= \frac{121}{2} + 2

Simplify

\frac{121}{2} + 2 : \frac{125}{2}

= \frac{125}{2}

Popular Examples

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

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

integral from 1/2 to 1 of 1/(x^2)-1/x

\int_{\frac{1}{2}}^{1} \frac{1}{x ^{2}} - \frac{1}{x} d x

integral from 3 to 7 of |x-4|

\int_{3}^{7} ∣ x - 4 ∣ d x

integral from 3 to 4 of 1/(x^2-6x+10)

\int_{3}^{4} \frac{1}{x ^{2} - 6 x + 10} d x

integral from 0 to 3 of t/(sqrt(t^2+16))

\int_{0}^{3} \frac{t}{t ^{2} + 16} d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 13 of |11-x| ?
The integral from 0 to 13 of |11-x| is 125/2