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Popular >

integral from 3 to 6 of |x-4|

Solution

\int_{3}^{6} ∣ x - 4 ∣ d x

Solution

\frac{5}{2}

+1

Decimal

2.5

Solution steps

\int_{3}^{6} ∣ x - 4 ∣ d x

Eliminate Absolutes

= \int_{3}^{4} - x + 4 d x + \int_{4}^{6} x - 4 d x

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

\int_{4}^{6} x - 4 d x = 2

= \frac{1}{2} + 2

Simplify

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

= \frac{5}{2}

Graph

Popular Examples

integral from-6 to 3 of |x|

\int_{- 6}^{3} ∣ x ∣ d x

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

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

integral from-2 to 2 of x^3-2x^2+7

\int_{- 2}^{2} x^{3} - 2 x^{2} + 7 d x

integral from 1 to 4 of 8

\int_{1}^{4} 8 d x

integral from-1 to 2 of x^3-4x

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

Frequently Asked Questions (FAQ)

What is the integral from 3 to 6 of |x-4| ?
The integral from 3 to 6 of |x-4| is 5/2