Answer: ?Determine whether the integral is convergent or divergent. Evaluate integrals

Chapter 7, Problem 33

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QUESTION:

Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent.

\(\int_{0}^{\infty} e^{-\sqrt{y}} d y\)

Equation Transcription:

Text Transcription:

int_{0}^{infty} e^{-sqrt{y}} dy

Questions & Answers

QUESTION:

Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent.

\(\int_{0}^{\infty} e^{-\sqrt{y}} d y\)

Equation Transcription:

Text Transcription:

int_{0}^{infty} e^{-sqrt{y}} dy

ANSWER:

Step 1 of 3


Substitute
  and  

 

So

Now we will perform integration by parts.

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