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Solved: ?Determine whether the integral is convergent or divergent. Evaluate integrals
Chapter 7, Problem 17(choose chapter or problem)
QUESTION:
Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent.
\(\int_{0}^{\infty} \frac{e^{x}}{\left(1+e^{x}\right)^{2}} d x\)
Equation Transcription:
Text Transcription:
Integral 0 infinity e^x/(1+e^x)^2 dx
Questions & Answers
QUESTION:
Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent.
\(\int_{0}^{\infty} \frac{e^{x}}{\left(1+e^{x}\right)^{2}} d x\)
Equation Transcription:
Text Transcription:
Integral 0 infinity e^x/(1+e^x)^2 dx
ANSWER:Step 1 of 2
We can write the integral as