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find integral sqrt(1+(cosx)^2)*sin2x*cos2x. solve the same

find integral sqrt(1+(cosx)^2)*sin2x*cos2x. solve the same

Grade:12

2 Answers

Deepak Kumar Shringi
askIITians Faculty 4404 Points
5 years ago
is this sin2x and cos2x is also inside the underoot please let me know
Aditya Gupta
2081 Points
5 years ago
We know that cos^2x= (1+cos2x)/2
So put cos2x=y
After taking constants out, we ll have to integrate
y√(3+y)dy
This is particularly easy and you simply have to write it as (3+y)^(3/2)-3(3+y)^(1/2). Now substitute 3+y=z and you are done

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