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Popular >

integral from 0 to 11 of |x-7|

Solution

\int_{0}^{11} ∣ x - 7 ∣ d x

Solution

\frac{65}{2}

+1

Decimal Notation

32.5

Solution steps

\int_{0}^{11} ∣ x - 7 ∣ d x

Eliminate Absolutes

= \int_{0}^{7} - x + 7 d x + \int_{7}^{11} x - 7 d x

\int_{0}^{7} - x + 7 d x = \frac{49}{2}

\int_{7}^{11} x - 7 d x = 8

= \frac{49}{2} + 8

Simplify

\frac{49}{2} + 8 : \frac{65}{2}

= \frac{65}{2}

Popular Examples

integral from 9 to 12 of 1/8

\int_{9}^{12} \frac{1}{8} d x

integral from 0 to 2 of x^2(1+8/(x^2+4))

\int_{0}^{2} x^{2} (1 + \frac{8}{x ^{2} + 4}) d x

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

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

integral from-1 to 1 of 8-2x^2

\int_{- 1}^{1} 8 - 2 x^{2} d x

integral from 2 to 4 of x^2-2x-8

\int_{2}^{4} x^{2} - 2 x - 8 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 11 of |x-7| ?
The integral from 0 to 11 of |x-7| is 65/2