Number Pattern formed by Maple
cos(nx) as the linear combination of powers of cos(x)
cos
n
x as the linear combination of cos(kx)
Identical pattern
indefinite integrals of x
n
e
x
successive derivatives of e
x
/x
indefinite integrals of ln
n
x
indefinite integrals of 1/ln
n
x
indefinite integrals of e
x
/x
n
indefinite integrals of cos(x)/x
n
Partial Fraction Decomposition