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

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The integral $$\int_{-1}^{1}\frac{e^x}{x+1}\,dx$$ converges. To establish convergence, one must demonstrate a finite upper bound for the integral. Conversely, to prove divergence, identifying a lower bound that diverges is essential. The discussion emphasizes the importance of bounding techniques in integral evaluation.

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

converges or diverges
 
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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:

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