Class CBSE Class 12 Mathematics Integrals Q #1705
KNOWLEDGE BASED
REMEMBER
1 Marks 2026 AISSCE(Board Exam) MCQ SINGLE
$\int\frac{1}{\sqrt{1+\cos 2x}}dx$ is equal to:
(A) $\log|\cos x|+C$
(B) $\frac{1}{\sqrt{2}}\log|\sec x-\tan x|+C$
(C) $\frac{1}{\sqrt{2}}\log|\sec x+\tan x|+C$
(D) $\log|\sin 2x|+C$
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Correct Answer: C
Pedagogical Audit
Bloom's Analysis: This is an APPLY question because the student must identify and apply the correct trigonometric double-angle identity to transform the integrand into a standard form before integration.
Knowledge Dimension: PROCEDURAL
Justification: The question requires a sequence of steps involving trigonometric simplification followed by the application of a standard integration formula.
Syllabus Audit: In the context of CBSE Class 12, this is classified as COMPETENCY. This question tests the student's ability to manipulate expressions beyond direct formula application, which is a core requirement for the Calculus unit in the CBSE Mathematics curriculum.

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