Grade 12Trigonometry
Find the value of ∫(sinx/sin4x)dx=∫sinx/2sin2x cos2x)dx∫sinx/4sinx cosx cos2x)dx
Find the value of ∫(sinx/sin4x)dx=
∫sinx/2sin2x cos2x)dx
∫sinx/4sinx cosx cos2x)dx
1 Answer
Aditya Gupta
∫sinx/4sinx cosx cos2x)dx= ∫1/4cosx cos2x)dx
put sinx=y, it becomes
∫dy/(1 – y^2)(1 – 2y^2)
now use partial fractions to obtain the integral in terms of log function and then finally replace y with sinx.
note that the method which i have given is the shortest and easiest method. but i cannot write the entire answer f the integral as it is TOOO LONG to be contained here.
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