January 5th, 2017, 04:44 AM  #1 
Newbie Joined: Jan 2017 From: India Posts: 12 Thanks: 1  Minimum integration problem!
How to solve this question? if f(x)= min{x1, x2,.... xn} Then what will be the value of integral INT[f(x)dx] where limit is from 0 to n+1 The options are 1) n+2/4 2) n+3/4 3) n+4/4 4) n+2/2 And Solve it completely if u can! 
January 5th, 2017, 05:09 AM  #2 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,109 Thanks: 855 
Do you understand what "min{x1, x2,.... xn}" means? For example, if 0< x< 1 then 1< x 1< 0 so 0<x 1< 1 while 2< x 2< 1 so 1< x 2< 2, etc. The minimum is x 1. If 1< x< 2, then 0< x 1< 1 while 1< x 2< 0 so 0< x 2< 1. x 1= x 2 here so the minimum is either one it doesn't matter which you use. This really only involves basic algebra and arithmetic with a very little Calculus added.


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