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Ask experts Expert Question: integrate dx/rootover(sin x cos^7 x) plz help
Reply Forum Index -> Integral Calculus originally posted here on IIT-JEE / AIEEE community   
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[Post New] 23 Jun 2009 19:52:30 IST
   Subject: integrate dx/rootover(sin x cos^7 x) plz help
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rohit (5)

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integrate dx/rootover(sin x cos^7 x)plz help
    
[Post New] 4 Jul 2009 22:32:01 IST
   Subject: integrate dx/rootover(sin x cos^7 x)plz help
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akki ~~ unlucky forever ~~ (1635)

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just by doing little rearrangement we have ,

 

I=\int\frac{sec^4x\ dx}{\sqrt{tanx}}

 

now, put tanx = t

 

I=\int\frac{(1+t^2)\ dt}{\sqrt{t}}

 

I=2\sqrt{tanx}(1+\frac{tan^2x}{5})+C
all's well that end's well, but if it dosen't, then it is not the end . . .
  this reply:   7 points  (with 1  Olaaa!! Perrrfect answer.   in 2   votes   )     [?]
 
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