Question

integration of cos2x-cos2y divided by sinx-siny=

Answer 1

Answer:

as cos2x=1-2sin square x

1. that is 1-2sin square x -(1-2sin square y)/sinx-siny)
2. as a square-b square=(a-b)(a+b)
3. that is 2(siny-sinx)(siny+sinx) /sinx-siny)
4. -2sinx-2siny
5. integration of sinx= - cosx
6. then answer is 2cosx+2cosy+some constant