Please find this integral1/1+sin2x dx.....................
Ashok Eswar , 6 Years ago
Grade 12
Integral Calculus> Please find this integral1/1+sin2x dx.......
1 Answers
Arun
Last Activity: 6 Years ago
Dear Ashok
1 /1 + sin2x = 1 / sin²x + cos ²x + 2 sinx cosx
= 1 / (sin x + cos x)²
Now divide by cos²x in both numerator and denominator.
Hence
sec² x/ (1 + tanx)²
Now integrate
1 + tan x = t
sec² x dx = dt
dt/ t² = -1/t =
= -1 /(1 + tan x) + c
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