1.

`int dx/(sin^2 x cos^2 x)` equalsA. `tan x-cot x+c`B. `tan x cot x+c`C. `tan x- cot 2x+c`D.

Answer» Correct Answer - b
` int (dx)/(sin^(2) x cos^(2)x)= int (sin^(2) x+cos ^(2) x)/(sin^(2) x cos^(2) x)dx`
`= int (sin^(2)x)/(sin^(2) x cos^(2)x) dx+ int (cos^(2)x)/(sin^(2) x cos ^(2) x)dx`
` = int sec^(2) x dx + int " cosec"^(2) x dc`
` = tan x - cot x+c`


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