Determine Whether the Improper Integral Converges or Diverges, and If $\int_{-\infty}^{\infty} \frac{3 e^{x}}{3+e^{2 x}} d x$

question 67

Multiple Choice

Determine whether the improper integral converges or diverges, and if it converges, find its value. $\int_{-\infty}^{\infty} \frac{3 e^{x}}{3+e^{2 x}} d x$

• A) \(\frac{\pi \sqrt{3}}{2}\)
• B) \(\sqrt{3}\)
• C) \(\frac{\pi \sqrt{3}}{3}\)
• D) Diverges

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