I just need help with b) plus I also have to find W in the integration methods use in Python: Trapezoid, Simpson and Romberg.

Exercise 5.12: The Stefan-Boltzmann constant The Planck theory of thermal radiation tells us that in the angular) frequency interval w to w + dw, a black body of unit area radiates electromagnetically an amount of thermal energy per second equal to I(w) dw, where W3 I(W) = 472c2 (ew/kgT - 1) Here is Planck's constant over 27, c is the speed of light, and kp is Boltzmann's con- stant. a) Show that the total energy per unit area radiated by a black body is k T4 W 23 dx. er-1 . b) Write a program to evaluate the integral in this expression. Explain what method you used, and how accurate you think your answer is