Question Evaluate 1+36e2z 4e² dx. Then select the correct choice. Select the correct answer below: The integral converges to 0. O The integral converges to. The integral converges to . The integral diverges.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
**Question**

Evaluate \(\int_{-\infty}^{\infty} \frac{4e^x}{1+36e^{2x}} \, dx\). Then select the correct choice.

**Select the correct answer below:**

- ☐ The integral converges to 0.
- ☐ The integral converges to \(\frac{1}{3}\pi\).
- ☐ The integral converges to \(\frac{4}{3}\pi\).
- ☐ The integral diverges.

**Options:**

- Feedback
- More Instruction
- Submit
Transcribed Image Text:**Question** Evaluate \(\int_{-\infty}^{\infty} \frac{4e^x}{1+36e^{2x}} \, dx\). Then select the correct choice. **Select the correct answer below:** - ☐ The integral converges to 0. - ☐ The integral converges to \(\frac{1}{3}\pi\). - ☐ The integral converges to \(\frac{4}{3}\pi\). - ☐ The integral diverges. **Options:** - Feedback - More Instruction - Submit
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