Question

Question #4d0b1

Answer 1

`int(sin^3x+cos^3x)/(sin^2 (2x) )dx`

`=int(sin^3x+cos^3x)/(2sinxcosx)^2 dx`

`=1/4(int(sin^3x/(sin^2xcos^2x)+cos^3x/(sin^2xcos^2x) )dx`

`=1/4(intsecxtanxdx+intcosx/sin^2xdx)`

`=1/4(intsecxtanxdx+intcotxcosecxdx)`

`=1/4(secx-cosec)+c`

c = integration constant