read `CfiniteIntegral.txt`: print(`This file finds Verbose versions of the`): print(` differntial equations for the generating functions of integrals, from -1 to 1 of powers of the Chebyshev polynomials times 1/(1+x^2) `): print(`for the first through fourth powers`): for k from 1 to 4 do print(``): print(`---------------------------------------`): print(``): print(`For the sequence defined by`, Int(CHEBYSHEVfirstKind[n](x)^k/(1+x^2),x=-1..1), `we have `): print(``): IntCazV([[1,x],[2*x,-1]],x,1/(1+x^2), k,t,-1,1); print(``): print(`--------------------------------------`): print(``): od: print(` This took`, time(), `seconds. `): quit: