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Popular >

integral from 1 to 4 of |2x-4|

Solution

\int_{1}^{4} ∣ 2 x - 4 ∣ d x

Solution

5

Solution steps

\int_{1}^{4} ∣ 2 x - 4 ∣ d x

Eliminate Absolutes

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

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

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

= 1 + 4

Simplify

= 5

Popular Examples

integral from 1 to 2 of 1/(x^3)e^{1/x}

\int_{1}^{2} \frac{1}{x ^{3}} e^{\frac{1}{x}} d x

integral from 2 to 3 of 3^{4x}

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

integral from 0 to 2 of (x-3)(x-1)

\int_{0}^{2} (x - 3) (x - 1) d x

integral from 0 to 1 of x^{3/4}

\int_{0}^{1} x^{\frac{3}{4}} d x

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

\int_{0}^{1} \frac{x ^{4}}{x ^{2} + 1} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of |2x-4| ?
The integral from 1 to 4 of |2x-4| is 5