integration by substitution

e^(y^(1/2))/y. this one has me stumped...anyone remember how to do this stuff?

Substitution won't simply the problem much.

Take the Taylor expansion of e^(y^(1/2)), multiply throught 1/y and integrate each individual bit of the sum.

I think you have to do a change of variables to polar coordinates.

Square up the integrand, change one of the y to x, add it up, change to polar coords, solve, change coords again, and square root. I forget.

>>3
Wait, no, that's for e^(x^2). Nevermind me.

This does not integrate into a nice analytic expression of elementary functions, but something in terms of the exponential integral.

>>5

Yup, what he said. See http//integrals.wolfram.com/...