how-do-i-prove-for-cosec-2-x-dx-and-sec-x-tan-x-dx-

Question Number 180545 by MathsFan last updated on 13/Nov/22

how do i prove for

\int {cosec}^{2} (x) dx and

\int \sec (x) \tan (x) dx

Commented by Frix last updated on 13/Nov/22

use t = \tan x with the 1^{st} and t = \cos x with the 2^{nd}

Commented by MathsFan last updated on 13/Nov/22

thanks

Commented by Acem last updated on 13/Nov/22

P r o v e l i k e w h a t ?

y o u m e a n p r o v e t h a t \int \sec x \tan x d x = \sec x + c ?

I f t h a t i s w a h t y o u m e a n s o s u p p o s e t h a t

\sec x = t \Rightarrow \sec x \tan x d x = d t

F o r t h e 1 s t s u p p o s e t h a t \cot x = t \Rightarrow - {cosec}^{2} x = d t

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