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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: integrate this pls : [[ (cos 2x)^1/2 ] / sin x] dx.
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PRAM0D (100)

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integrate this pls : [[ (cos 2x)^1/2 ] / sin x] dx.
    
vnkt.swaroop (448)

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substitute sinx and cosx and get the answer.please tell me whether you had got it or not?

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ankitagg (330)

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multiply and divide by root(cos2x)




now write seperately  -


integrate seperately


for first part  take sin^2x common



now take cot x =z


dx=dz/-cosec^2x


therefore its integral is [-log(cotx+root(cot^2x-1))] +c1 


now integrate second one


put cosx=z


dx=dz/-sinz



take -1/root2 common and form quad.


final integral- (-1/root 2 log(cosx+root[cos^2x-1/2]) +c2


ans.[-log(cotx+root(cot^2x-1))]+(root 2 log(cosx+root[cos^2x-1/2]) +C

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vnkt.swaroop (448)

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please answer tis question.


 

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ankitagg (330)

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which question??

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