Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Integral Calculus
0 votes

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.
answered Jan 2, 2014 by meena.p
Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App