Skip to main content
Back to INDEFINITE INTEGRATION

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Medium
1 of 1
Application +4 | -1
∫  1cos⁡  x  −  sin⁡  x  dx\int \,\,\frac{1}{{\cos \,\,x\,\, - \,\,\sin \,\,x}}\,\,dx is equal to
View answer and explanation
Correct option: A
12  log⁡  ∣ tan⁡  (x2  +  3π8) ∣+C\frac{1}{{\sqrt 2 }}\,\,\log \,\,\left| {\,\tan \,\,\left( {\frac{x}{2}\,\, + \,\,\frac{{3\pi }}{8}} \right)\,} \right| + C
Option A (\frac{1}{{\sqrt 2 }}\,\log \,\left| {\,\tan \,\left( {\frac{x}{2}\, + \\,\frac{{3\pi }}{8}} \right)\} \right| + C\frac{1}{{\sqrt 2 }}\,\log \,\left| {\,\tan \,\left( {\frac{x}{2}\, + \\,\frac{{3\pi }}{8}} \right)\} \right| + C) is correct because it is the result of integrating the given expression using trigonometric identities and substitution.

More Questions from INDEFINITE INTEGRATION

Practice All Chapter MCQs →
Type at least 2 characters or jump directly:
🔓

Save your learning progress

Sign in with a free account to save your practice answers and quiz results, then return to them when you revise.