Total power of the sun with Rayleigh-Jeans expression

[bhsmith]

Homework Statement

What is the totally power emitted by the sun over all wavelengths (frequencies) according to the (incorrect) classical Rayliegh-Jeans expression for ρt(v)

Homework Equations

ρt(v)dv=8piv^2kT/c^3 dv

The Attempt at a Solution

I'm not sure how to start this one, would i need to take the integral of this equation?

 

[gabbagabbahey]

I'm not sure how to start this one, would i need to take the integral of this equation?

Sounds like a plan to me... (remember, the equation gives the power radiated in a range of frequencies $\nu$ to $\nu+d\nu$, so integrating over all possible frequencies will give the power radiated over the entire spectrum)