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March 13th, 2014, 01:43 PM  #1 
Newbie Joined: Mar 2014 Posts: 1 Thanks: 0  Integral with lower and upper limits
Hello everyone, I would be extremely grateful for your help with the following problem. I've been trying to solve this for the past hours and I cannot seem to arrive at the right answer :/ I'm trying to prepare for an exam in a week's time, but it's a hell of a problem. Could you please help me by explaining the process? Problem ( I will do my best to explain it as I can't write the symbols) (the upper and lower limits are the numbers for the f symbol, at the top and bottom of it) integral (F) *upper limit = 2, lower limit = 1; (x^2  1)^10 * 22x dx. So, the function looks like this: F (2=top, 1=bottom) (x^2  1)^10 * 22x dx. Please help! Aga 
March 13th, 2014, 09:26 PM  #2 
Senior Member Joined: Mar 2014 Posts: 112 Thanks: 8  Using the fundamental theorem of calculus we get (2²  1)^11  (1²  1)^11 = 3^11. 
March 14th, 2014, 05:49 AM  #3 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Integral with lower and upper limits Let so that . When x= 1 u= 0, when x= 2, u= 3 so the integral becomes 

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