read `CfiniteIntegral.txt`:





print(`Examples of procedure IntCSv: `):

print(`For example to test Theorem 1 of Seon-Hong Kim's article:`):
print(` On some integrals involving Chebyshev polynomials", Ramanujan J. v. 38 (2015),`):
print(`(629-639) `):
print(` First part: i.e. Int(U_(2n)(x)*U*x_(2n)(x),x=-1..1).. Try: `):
IntCSv([[1,2*x],[2*x,-1]],x,2,n,N,(1+(-1)^n)/(n+1),10,1000);

print(` Second part: i.e. Int(T_(2n)(x)*Star(T_(2n))(x),x=-1..1).. Try: `):
 IntCSv([[1,x],[2*x,-1]],x,2,n,N,(1+(-1)^n)/(n+1),10,1000); 


print(`For Theorem 2 of that paper, First part: `):
 IntCSv([[1,x],[2*x,-1]],x,2,n,N, (1+(-1)^n)/2*binomial(n,n/2)/2^n,10,1000);
print(`Second part: `):

IntCSv([[1,2*x],[2*x,-1]],x,2,n,N, (1+(-1)^n)/2*binomial(n,n/2)/2^n/(n+2),10,1000);


quit: