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Popular >

integral from 0 to 7 of |x-5|

Solution

\int_{0}^{7} ∣ x - 5 ∣ d x

Solution

\frac{29}{2}

+1

Decimal

14.5

Solution steps

\int_{0}^{7} ∣ x - 5 ∣ d x

Eliminate Absolutes

= \int_{0}^{5} - x + 5 d x + \int_{5}^{7} x - 5 d x

\int_{0}^{5} - x + 5 d x = \frac{25}{2}

\int_{5}^{7} x - 5 d x = 2

= \frac{25}{2} + 2

Simplify

\frac{25}{2} + 2 : \frac{29}{2}

= \frac{29}{2}

Graph

Popular Examples

integral from 0 to sqrt(2 of)x^2

\int_{0}^{2} x^{2} d x

integral from 0 to 1 of x(2-x^2)^{12}

\int_{0}^{1} x (2 - x^{2})^{12} d x

integral from 0 to infinity of e^{-x/5}

\int_{0}^{\infty} e^{- \frac{x}{5}} d x

integral from 3 to 2 of x^2

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

integral from 2 to 3 of (2x)/((x^2+4)^3)

\int_{2}^{3} \frac{2 x}{( x ^{2} + 4 ) ^{3}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 7 of |x-5| ?
The integral from 0 to 7 of |x-5| is 29/2