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MHT CET · Maths · Definite Integration

\(\int_{\log \frac{1}{2}}^{\log 2} \sin \left(\frac{e^x-1}{e^x+1}\right) d x=\)

  1. A 0
  2. B 1
  3. C \(\cos \frac{1}{2}\)
  4. D \(2 \log \frac{1}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(A) 0

Step-by-step Solution

Detailed explanation

Let \(f(x) = \sin \left(\frac{e^x-1}{e^x+1}\right)\). Consider the argument \(g(x) = \frac{e^x-1}{e^x+1}\).