evaluate integral of 1/sin^2x+cos^x with respect to x
Answer (1)
12th Apr, 2021
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.
2 Comments
Comments (2)
thanks
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MASTER TECHY IN KANNADA
There is a addition symbol in denominator but you used multiplication symbol
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