COMEDK · Maths · 30. Definite Integration
\(\int_0^{\dfrac{\pi}{2}} \log \left(\dfrac{5+4 \sin x}{5+4 \cos x}\right) d x=\)
- A 2
- B -2
- C 0
- D \(\dfrac{3}{4}\)
Answer & Solution
Correct Answer
(C) 0
Step-by-step Solution
Detailed explanation
Let \(I = \int_{0}^{\dfrac{\pi}{2}} \log \left( \dfrac{5 + 4 \sin x}{5 + 4 \cos x} \right) dx\). Using the property \(\int_{0}^{a} f(x) dx = \int_{0}^{a} f(a - x) dx\), we have:…
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