Hello Aspirant,

Hope you are doing well.

Integral of 1 / (sin power 2x + cos power 2x) . It is quite difficult to write here. But I'm trying my best.

there is no integration or power sign so we represent these sign with some other sign.

| represent the integration, and

** represent the power sign

when you can do this in notebook please change these sign with integration and power.

we know that,

sin**2x + cos **2x = 1

= (sin**2x + cos**2x) / (sin**2x cos**2x) = [ ( 1 / cos**2x) + ( 1 / sin**2x) ]

= sec**2x + cosec**2x

then, | ( 1 / (sin**2x cos**2x) dx

= | (sec**2x dx ) + | (cosec**2x) dx + C

= tan x - cot x + C

I hope you can understand.

All the best.