read `CfiniteIntegral.txt`: print(`This file finds 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(``): print( IntCaz([[1,x],[2*x,-1]],x,1/(1+x^2), k,t,Dt,-1,1)); print(``): print(`and in Maple notation`): print(``): lprint( IntCaz([[1,x],[2*x,-1]],x,1/(1+x^2), k,t,Dt,-1,1)); od: print(``): print(`--------------------------------------`): print(``): print(` This took`, time(), `seconds. `): quit: