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Popular >

integral from 1 to 4 of 3-|x-3|

Solution

\int_{1}^{4} 3 - ∣ x - 3 ∣ d x

Solution

\frac{13}{2}

+1

Decimal Notation

6.5

Solution steps

\int_{1}^{4} 3 - ∣ x - 3 ∣ d x

Eliminate Absolutes

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

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

\int_{3}^{4} 3 - (x - 3) d x = \frac{5}{2}

= 4 + \frac{5}{2}

Simplify

4 + \frac{5}{2} : \frac{13}{2}

= \frac{13}{2}

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integral from 2 to 3 of (32)/(sqrt(3-x))

\int_{2}^{3} \frac{32}{3 - x} d x

integral of ((x^3+3x+ln(2)))/(sqrt(x^3))

\int \frac{( x ^{3} + 3 x + ln ( 2 ) )}{x ^{3}} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of 3-|x-3| ?
The integral from 1 to 4 of 3-|x-3| is 13/2