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Popular >

integral from 2 to 7 of |x-4|

Solution

\int_{2}^{7} ∣ x - 4 ∣ d x

Solution

\frac{13}{2}

+1

Decimal

6.5

Solution steps

\int_{2}^{7} ∣ x - 4 ∣ d x

Eliminate Absolutes

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

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

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

= 2 + \frac{9}{2}

Simplify

2 + \frac{9}{2} : \frac{13}{2}

= \frac{13}{2}

Graph

Popular Examples

integral from 0 to ln(4) of 9e^{3x}

\int_{0}^{l n (4)} 9 e^{3 x} d x

integral from y to 2 of 1/(2x)

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

integral from 3 to 7 of (2x+1)e^{0.4x}

\int_{3}^{7} (2 x + 1) e^{0.4 x} d x

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

\int_{0}^{π} \frac{4}{x ^{2} + 1} d x

integral from 1 to 2 of x^5

\int_{1}^{2} x^{5} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 7 of |x-4| ?
The integral from 2 to 7 of |x-4| is 13/2