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Find Integral (Sin 2 X - Cos 2x)By(Sin X Cos X) Dx - Mathematics

Find `int (sin^2 x - cos^2x)/(sin x cos x) dx`

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Solution

`int (sin^2 x - cos^2x)/(sin x cos x) dx`

= `int (sin^2 x)/(sin x cos x) dx - int (cos^2 x)/(sin x cos x) dx`

= `int tan x dx - int cot x dx`

= log |sec x| - log |sin x| + C

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