Question:

\(\int^{1}_{0}\frac{2e^x}{1+e^{2x}}dx=\)

Updated On: Jun 10, 2024
  • \(4(\tan^{-1}2-\pi)\)
  • \(2(\tan^{-1}e-\frac{\pi}{2})\)
  • \(2(\tan^{-1}e+\frac{\pi}{4})\)
  • \(2(\tan^{-1}e-\frac{\pi}{4})\)
  • \(2(\tan^{-1}2+\pi)\)
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The Correct Option is D

Solution and Explanation

The correct option is (D): \(2(\tan^{-1}e-\frac{\pi}{4})\)
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