Integrate Equation 34.3 over all wavelengths to get the total power radiated per unit area. Show that

Question:

Integrate Equation 34.3 over all wavelengths to get the total power radiated per unit area. Show that your result is equivalent to Equation 34.1, with the Stefan–Boltzmann constant given by σ = 2π⁵k⁴/15c²h³. (Use hc/λkT as the integration variable.)

Polackbody oAT (34.1) 2nhc? R(A, T) (34.3) *(ehc/AKT – 1)