Eek Integrals are ruining my life.

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Homework Help Overview

The discussion revolves around two integral problems involving functions with exponential and polynomial expressions. The subject area is calculus, specifically focusing on integration techniques.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants express uncertainty about how to begin the first integral and discuss the use of substitution. For the second integral, there are attempts to apply partial fractions, but challenges arise due to the inability to factor the polynomial.

Discussion Status

Some participants have provided hints and suggestions for approaching the problems, including the idea of completing the square and using arctan for the second integral. There is an ongoing exploration of different methods without a clear consensus on the best approach.

Contextual Notes

Participants note the requirement to show attempts at solving the problems to receive help, which may influence the nature of the responses and guidance provided.

ashleyk
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Hey I have a test soon and need help on two problems, please!

first is taking the integral of (e^(x)^1/2)/(x)^(1/2) dx



second is taking the integral of 2/(x^2+4x+8) dx


thanks for any help!
 
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You have to at least show you attempted the problem(s) or the smart people won't want to help.
 
For the 1st one i am not sure where to start...




for the second one, i tried using partial fractions but i could not factor it
 
ashleyk said:
For the 1st one i am not sure where to start...

When in doubt, try a substitution.


ashleyk said:
for the second one, i tried using partial fractions but i could not factor it

It has no real roots. Try completing the square and remember arctan.
 
Hint for the first

2 \frac{d}{dx} e^{\sqrt{x}} =\frac{e^{\sqrt{x}}}{\sqrt{x}}

Daniel.
 

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