JEE Mains · Maths · STD 12 - 7.2 definite integral
\(\mathop \smallint \limits_{\frac{\pi }{4}}^{\frac{{3\pi }}{4}} \frac{{dx}}{{1 + \cos x}} = \) . . . .
- A \(-1\)
- B \(-2\)
- C \(2\)
- D \(4\)
Answer & Solution
Correct Answer
(C) \(2\)
Step-by-step Solution
Detailed explanation
\(I = \int\limits_{\frac{{3\pi }}{4}}^{\frac{{3\pi }}{4}} {\frac{{{\rm{dx}}}}{{1 + \cos x}}} \) \(I = \int\limits_{\frac{{3\pi }}{4}}^{\frac{{3\pi }}{4}} {\frac{{{\rm{dx}}}}{{1 - \cos x}}} \) Using…
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