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TS EAMCET · Maths · Definite Integration

\(\int_{\frac{-3}{4}}^{\frac{\pi-6}{8}} \log (\sin (4 x+3)) d x=\)

  1. A \(-\frac{\pi}{2} \log 2\)
  2. B \(-\frac{\pi}{8} \log 2\)
  3. C \(-\frac{\pi}{14} \log 2\)
  4. D \(-\frac{\pi}{28} \log 2\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(-\frac{\pi}{8} \log 2\)

Step-by-step Solution

Detailed explanation

Put \(4 x+3=t \Rightarrow d x=\frac{a t}{4}\)…
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