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The starting equation is P(v) = (m/2piKT)^3/2 * 4piV^2 * e ^ (-mv^2/2kT)

where m is mass, k is the boltzmann constant, v is velocity, and t is temperature.

The answer is SQRT(3RT/M)

where R is the universal gas constant, T is temperature and M is molar mass.

Some useful conversions.

K = R/Na

where Na is Avagodro's number

m*Na = M

m = mass, Na = Avagodro's, M = molar mass

and we figured out that you're supposed to integrate it in this equation.

SQRT(integral from 0 to infinity of (v^2 * P(v) dv))

but don't understand how to go from there to the final answer.

PLEASE HELP!