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March 13th, 2014, 02:43 PM   #1
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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!
agnieszkam is offline  
March 13th, 2014, 10:26 PM   #2
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Using the fundamental theorem of calculus we get (2 - 1)^11 - (1 - 1)^11 = 3^11.
the john is offline  
March 14th, 2014, 06:49 AM   #3
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Re: Integral with lower and upper limits

Let so that . When x= 1 u= 0, when x= 2, u= 3 so the integral becomes
HallsofIvy is offline  

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