MHT CET · Maths · Definite Integration
\(\int_0^{\pi / 2} \log \left(\frac{4+3 \sin x}{4+3 \cos x}\right) d x=\)
- A 0
- B \(4 \log 3\)
- C \(\frac{1}{2}\)
- D \(2 \log 4\)
Answer & Solution
Correct Answer
(A) 0
Step-by-step Solution
Detailed explanation
Eq. (1) \(+(2)\) gives,
\(2 I=\log \left[\frac{4+3 \sin x}{4+3 \cos x} \times \frac{4+3 \cos x}{4+3 \sin x}\right] d x\) \(=\int_0^{\frac{\pi}{2}}(\log 1) d x=0>\)
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