Evaluate the integral using Partial fraction decomposition (PLEASE SHOW EVERY STEPS: the dummy decomposition form, specific decomposition form, and the linear system that must be solved to get from one to the other. Make sure to Label every step and explain the process

The integral (-t^2+33t+18)/(t^3-9t)dtI am looking for a good mathematical rigorous introduction to solid state physics. The style and level for this solid state physics book should be comparable to Abraham Marsdens Foundations of mechanics or Arnols mechanics book for classical mechanics or to Thirrings Physics course for quantum mechanics.

Any recommendations

(a) How did Einstein extend Planck's quantum theory to explain the experimental curve for heat capacity of solids which could not be otherwise explained by Dulong-Petit classical model at low temperatures, (b) how then Debye removed the discrepancy of Einstein's model? and (c) how do you explain the microscopic origin of the thermal conductivity of solid materials? (6+6+

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Hexagonal space lattice ( From Charles Kittel Introduction to Solid State Physics The vectors of primitive translations of the hexagonal space tattice can be chosen as follows. a = 3 a a a + + e = c z 2 2 2 Show using a formula V= /abx el, that the volume of a primitive cell isv ( 13/2) a c. is equal

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