TS EAMCET · Maths · Indefinite Integration
If \(f(x)=\int \frac{\sin 2 x+2 \cos x}{4 \sin ^2 x+5 \sin x+1} d x\) and \(f(0)=0\), then \(f\left(\frac{\pi}{6}\right)=\)
- A \(\log \frac{3}{4}\)
- B \(2 \log 2\)
- C \(\frac{1}{2} \log 3\)
- D 1
Answer & Solution
Correct Answer
(C) \(\frac{1}{2} \log 3\)
Step-by-step Solution
Detailed explanation
\(\int \frac{(2 \sin x \cos x+2 \cos x) d x}{4 \sin ^2 x+4 \sin x+\sin x+1}\)…
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