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Old 23-10-2009, 09:24 PM   #1 (permalink)
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Default A level integration

how do you integrate 1/(9x^2 + 1) with upper limit as 1/ (root3) and lower limit as 0
Thanks in advance. I have been trying for a very long time and just couldnt get the answer which is pi/9 while I keep getting pi/3.

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Old 23-10-2009, 10:29 PM   #2 (permalink)
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Default Re: A level integration

Quote:
Originally Posted by haunted2 View Post
how do you integrate 1/(9x^2 + 1) with upper limit as 1/ (root3) and lower limit as 0
Thanks in advance. I have been trying for a very long time and just couldnt get the answer which is pi/9 while I keep getting pi/3.
1/(9x^2 + 1) = 1/((3x)^2 + 1)

after integration (use formula)
(1/3)tan^-1 (3x) i guess u miss out the 1/3 here.. u have to integrate the 3x inside

apply limit
then u get pi/9

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Old 27-10-2009, 12:53 PM   #3 (permalink)
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Default Re: A level integration

Oh thanks for your help

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