(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Evaluate the intergrals:

a) integral of 3^(-4*z^2) dz from 0 to infinity

b) integral of dx/(sqrt(-ln(x))) from 0 to 1

c) integral of x^m * e^(-a*x^n) dx from 0 to infinity

2. Relevant equations

gamma(n) = integral of e^(-w) * w^(n-1) dw from 0 to infinity

3. The attempt at a solution

I'm assuming I use:

gamma(n) = integral of e^(-w) * w^(n-1) dw from 0 to infinity

as it was used in the rest of the problems in this set, however I have no idea where to begin on (a) and (b). For (c) I've been trying to get it to match up with the gamma function above, but the a variable is giving me some difficulty. I should be able to get (c) eventually, but if you could please help with (a) and (b) that would be great as well with anything that simplifies (c)

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# Interesting integrals, which I think involve the gamma function

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