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Question
Find the following integrals:
`int(sec^2x)/(cosec^2x) dx`
Solution
Let `I = int (sec^2 x)/(cosec^2) dx`
`I = int (1/(cos^2 x))/(1/(sin^2 x)) dx`
`I = int (sin^2 x)/(cos^2 x)` dx
`I = int tan^2 x dx`
`I = int sec^2 x - 1 dx`
`I = int sec^2 x dx - int 1 dx`
I = tan x - x + C
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