Question

∫ dx / √sin^3x sin(x+a) ; a≠nπ, n∈Z

Answer 1

sin³x sin(x+a)
= sin⁴x[cos a + cot x sin a]   {use si(a +b)}

so we can write integration as 

let cos a + cot x sin a = t
- cosec²x sin a dx= dt
cosec²x dx= 1/ sin a dt
Now put in the equation 

put the value and you will get 

Comments

thanks.........