MHB Evaluating $\int_{-1}^{1}\frac{e^x}{x+1}\,dx$: Converges/Diverges?

Thread starter wonguyen1995
Start date Oct 19, 2014

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The integral $\int_{-1}^{1}\frac{e^x}{x+1}\,dx$ requires evaluation to determine convergence or divergence. To establish convergence, a finite upper bound must be identified, while divergence can be proven by finding a lower bound that diverges. The discussion emphasizes the importance of these bounds in the evaluation process. Participants share methods and approaches to analyze the integral effectively. Ultimately, determining the behavior of the integral hinges on these bounding techniques.

Oct 19, 2014

wonguyen1995

$$\int_{-1}^{1}\frac{e^x}{x+1}\,dx$$

converges or diverges

Last edited by a moderator: Oct 19, 2014

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Oct 19, 2014

Siron

What have you tried?
To prove it converges you have to find a finite upper bound for the integral. To prove it diverges you have to find a lower bound that diverges.

Last edited: Oct 19, 2014

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