read `CfiniteIntegral.txt`:

print(`This file finds recurrences for the integral, from 0 to 1 of powers of the Chebyshev polynomials`):


for k from 1 to 4 do

print(``):
print(`---------------------------------------`):
print(``):
print(`For the sequence defined by`, Int(CHEBYSHEVfirstKind[n](x)^k,x=0..1), `we have `):
print(``):

print( IntC([[1,x],[2*x,-1]],x,k,n,N,1/(n+1),20));

print(``):
print(`and in Maple notation`):
print(``):
print( IntC([[1,x],[2*x,-1]],x,k,n,N,1/(n+1),20));
od:

print(``):

print(`--------------------------------------`):
print(``):

print(` This took`, time(), `seconds. `):

quit: