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Popular >

integral from 3 to 7 of |x-4|

Solution

\int_{3}^{7} ∣ x - 4 ∣ d x

Solution

5

Solution steps

\int_{3}^{7} ∣ x - 4 ∣ d x

Eliminate Absolutes

= \int_{3}^{4} - x + 4 d x + \int_{4}^{7} x - 4 d x

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

\int_{4}^{7} x - 4 d x = \frac{9}{2}

= \frac{1}{2} + \frac{9}{2}

Simplify

\frac{1}{2} + \frac{9}{2} : 5

= 5

Popular Examples

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

integral from 3 to 4 of 2x

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

integral from-1 to 1 of (x^3)

\int_{- 1}^{1} (x^{3}) d x

integral from-1 to 2 of (x^3+x)

\int_{- 1}^{2} (x^{3} + x) d x

Frequently Asked Questions (FAQ)

What is the integral from 3 to 7 of |x-4| ?
The integral from 3 to 7 of |x-4| is 5