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Popular >

integral from 0 to 10 of |x-7|

Solution

\int_{0}^{10} ∣ x - 7 ∣ d x

Solution

29

Solution steps

\int_{0}^{10} ∣ x - 7 ∣ d x

Eliminate Absolutes

= \int_{0}^{7} - x + 7 d x + \int_{7}^{10} x - 7 d x

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

\int_{7}^{10} x - 7 d x = \frac{9}{2}

= \frac{49}{2} + \frac{9}{2}

Simplify

\frac{49}{2} + \frac{9}{2} : 29

= 29

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\int_{0}^{4} x + 3 d x

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

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\int_{10}^{20} 200 - 6 x d x

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\int_{0}^{4} (5 x - x^{2}) - (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 10 of |x-7| ?
The integral from 0 to 10 of |x-7| is 29