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Popular >

integral from 0 to 7 of |x-4|

Solution

\int_{0}^{7} ∣ x - 4 ∣ d x

Solution

\frac{25}{2}

+1

Decimal

12.5

Solution steps

\int_{0}^{7} ∣ x - 4 ∣ d x

Eliminate Absolutes

= \int_{0}^{4} - x + 4 d x + \int_{4}^{7} x - 4 d x

\int_{0}^{4} - x + 4 d x = 8

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

= 8 + \frac{9}{2}

Simplify

8 + \frac{9}{2} : \frac{25}{2}

= \frac{25}{2}

Graph

Popular Examples

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

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

integral from-1 to 5 of x

\int_{- 1}^{5} x d x

integral from-a to a of 1

\int_{- a}^{a} 1 d x

integral from 1 to 2 of (32x^3+6/(x^2))

\int_{1}^{2} (32 x^{3} + \frac{6}{x ^{2}}) d x

integral from 1 to 3 of (8x-1)e^{4x^2-x}

\int_{1}^{3} (8 x - 1) e^{4 x^{2} - x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 7 of |x-4| ?
The integral from 0 to 7 of |x-4| is 25/2