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Popular >

integral from 1 to 4 of |4x-12|

Solution

\int_{1}^{4} ∣ 4 x - 12 ∣ d x

Solution

10

Solution steps

\int_{1}^{4} ∣ 4 x - 12 ∣ d x

Eliminate Absolutes

= \int_{1}^{3} - 4 x + 12 d x + \int_{3}^{4} 4 x - 12 d x

\int_{1}^{3} - 4 x + 12 d x = 8

\int_{3}^{4} 4 x - 12 d x = 2

= 8 + 2

Simplify

= 10

Graph

Popular Examples

integral from b to a of 1/(x^2)

\int_{b}^{a} \frac{1}{x ^{2}} d x

integral from 0 to 4 of x^2(-0.5x+2)

\int_{0}^{4} x^{2} (- 0.5 x + 2) d x

integral from 0 to 2 of 10

\int_{0}^{2} 10 d x

integral from-1 to 1 of (y^2-4)-(e^y)

\int_{- 1}^{1} (y^{2} - 4) - (e^{y}) d y

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

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of |4x-12| ?
The integral from 1 to 4 of |4x-12| is 10