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# Integrate : $\int \large\frac{1}{1- \sin x }$$dx (a)\;\cot x + cosec x +c \\(b)\;\tan x +\sec x+c \\(c)\;\sin x + \cos x +c \\ (d)\;None Can you answer this question? ## 1 Answer 0 votes To solve this type of question multiply with 1+\sin x in denominator and numerator. => \int \large\frac{1+\sin x }{1- \sin ^2 x }$$dx$
=> $\sec ^2 x dx +\int \sec x \tan x dx$
=> $\tan x +\sec x+c$
Hence b is the correct answer.