Question

Integrate it 1/cos²x(1-tanx)² ​

Answer 1

Answer:

1/(1 - tan x) + C

Step-by-step explanation:

Given:

1/cos²x(1 - tanx)²

Let,

t = 1 - tan x

dt = sec²x dx

   = (1/cos² x) dx

  = (dx/cos² x)

Now,

On integrating we get,

∫ t⁻² dt

= (1/t) + C

= (1/1 - tanx) + C

Hope it helps!

Answer 2

Answer:

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