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posted by  Vincenzo on 11/28/2008 7:21:30 PM  |  status: Closed  

Integration problem...please help!

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Tags: Calculus
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posted by roydesoto on 11/28/2008 7:48:31 PM  |  status: Live
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let u = tan x so du = sec2 x dx
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posted by LonestarSG on 11/28/2008 7:57:39 PM  |  status: Live
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we have a basic substitution problem:




we now have:


integrate:


resubstitute:

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posted by A-Rod 7821 on 11/28/2008 8:05:21 PM  |  status: Live
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Vincenzo's comment:
"thanks!!!!!!!!!!!!!!!!!!!!!"
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You have to use u-substitution. An easy way of recognizing what to set to u is notice that the derivative of tan(x) is equal to sec2(x): d/dx[tan(x)]=sec2(x). This way you can cross out the sec2(x) terms.
Therefore u=tan(x)
du=sec2(x)dx
du/(sec2(x))=dx
---(ANSWER)----
 
 
 
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posted by Bpanda on 11/28/2008 8:06:54 PM  |  status: Live
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Vincenzo's comment:
"thanks!!!!!!!!!!!!!!!!!!!!!!!!"
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we know that :
 
 
the integral becomes: 
 
Let's put :
 
u = tanx
du = d(tanx)
 
===> :
 
where C is a constant of integration
 
hope this helps
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