what's the indefinite integral of y=(e^(x/2)) / (sqrtx) ?

i meant square root of x in the sqrtx part

this is not an elementary integral what class is this?

i'm in precalculus honors

precalculus and integrals? lol

idk my teacher wants us to learn more caluclus stuff for next year....

i don't see how to do this it failed at integral by parts

I'm working on it....gimme a sec

\[\int\limits_{}^{}\frac{e^{\frac{x}{2}}}{\sqrt{x}} dx\] ? right?

ya! that's the question

and part 2 of the question is find the derivative

i still say there is no elementary way to evaluate this i would like someone to evaluate it, but im not sure how many people on here no complex analysis or whatever else you need for this

oh... thanks for working on this problem anyway :)

blue hows it going?

Hmm..not great, you may be right...I'll let you know if I have a breakthrough.

lol gl i think i will leave this site up all night and check it randomly to see if anyone answers this

Blue were you trying to use integration by parts

You're right, you can't do it. I put it into wolfram. One of the components of the answer is the erf function.

Yes zeal, first by parts and then by u substitution with u=sqrt(x), then x=u^2, etc...but then you just end up with e^(0.5u^2) in the integrand and it gets you nowhere. I honestly find it kind of hard to believe that they'd give you this, or any other, integral in a precalc class.

thank you guys for working on this problem...! btw, is finding the derivative for y=(e^(x/2)) / (sqrtx) also impossible too?

No, finding the derivative of that is pretty straightforward...just gotta follow some rules (chain, quotient, power, etc).

i substituted sqrt of x first... is that correct?

Hmm? No substituting for derivatives. Have you learned the quotient or chain rules yet?

ya... i got [(e^(x/2))*(sqrt of x)]/2 + [(e^(x/2)) / (2*sqrt of x}] as the answer.... is that right?

(e^(x/2))'=1/2*e^(x/2) (x^(1/2))'=1/(2sqr{x}) so we need to use quotient rule since we have f/g quotient rule: (f/g)'=(f'g-fg')/g^2 =(1/2*e^(x/2)*x^(1/2)-e^(x/2)*1/(2sqrt{x}))/x and we can make this look nice by getting rid of the compund fraction

multply top and bottom by 2sqrt{x} and that will do the trick i have to go to bed good night

thanks!

oh i forgot about that g^2