Eek Integrals are ruining my life.

[ashleyk]

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!

 

[mr_coffee]

You have to at least show you attempted the problem(s) or the smart people won't want to help.

 

[ashleyk]

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

 

[shmoe]

For the 1st one i am not sure where to start...

When in doubt, try a substitution.

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.

 

[dextercioby]

Hint for the first

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

Daniel.