Question

Integrate : sin square x - cos square x by sin square cos square x

Answer 1

I = integration of (sin square x - cos square x)/(sin square x cos square x)dx
  = integration of (sin square x)/(sin square x cos square x)dx - (cos square x)/(sin square x cos square x)dx
   =integration of (sec square x - cosec square x) dx
   = tanx - (-cotx)
   = tanx + cotx