January 5th, 2017, 05:44 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, 06:09 AM  #2 
Math Team Joined: Jan 2015 From: Alabama Posts: 2,340 Thanks: 588 
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.


Tags 
integration, minimum, problem 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
*New Problem* Minimum Cost Problem  mathkid  Calculus  51  November 18th, 2012 04:49 PM 
Deriving for Local Minimum Problem  sarasmores  Calculus  2  November 4th, 2012 06:53 PM 
minimum problem  hgd7833  Complex Analysis  4  April 15th, 2012 02:34 PM 
Problem involving Chain Rule, Finding Maximum/Minimum point  nyluappe  Calculus  2  February 6th, 2009 10:34 PM 
A minimum number problem  K Sengupta  Number Theory  10  February 19th, 2007 08:12 AM 