FCIteratedIntegralSimplify
FCIteratedIntegralSimplify[ex]
uses linearity to simplify nested products and linear combinations of FCIteratedIntegral
s.
See also
Overview, FCIteratedIntegral, FCIteratedIntegral, FCGPL.
Examples
int = C[1, 0] + Epsilon*(C[1, 1] + FCIteratedIntegral[C[1, 0]*FCPartialFractionForm[0, {{{x, -1}, -2}}, x], x]) +
Epsilon^2*(C[1, 2] + FCIteratedIntegral[(C[1, 1] + FCIteratedIntegral[C[1, 0]*FCPartialFractionForm[0,
{{{x, -1}, -2}}, x], x])*FCPartialFractionForm[0, {{{x, -1}, -2}}, x], x]) +
Epsilon^3*(C[1, 3] + FCIteratedIntegral[(C[1, 2] + FCIteratedIntegral[(C[1, 1] +
FCIteratedIntegral[C[1, 0]*FCPartialFractionForm[0, {{{x, -1}, -2}}, x], x])*FCPartialFractionForm[0,
{{{x, -1}, -2}}, x], x])*FCPartialFractionForm[0, {{{x, -1}, -2}}, x], x])
ε3(FCIteratedIntegral(FCPartialFractionForm(0,({x,−1}−2),x)(FCIteratedIntegral(FCPartialFractionForm(0,({x,−1}−2),x)(FCIteratedIntegral(C[1,0]FCPartialFractionForm(0,({x,−1}−2),x),x)+C[1,1]),x)+C[1,2]),x)+C[1,3])+ε2(FCIteratedIntegral(FCPartialFractionForm(0,({x,−1}−2),x)(FCIteratedIntegral(C[1,0]FCPartialFractionForm(0,({x,−1}−2),x),x)+C[1,1]),x)+C[1,2])+ε(FCIteratedIntegral(C[1,0]FCPartialFractionForm(0,({x,−1}−2),x),x)+C[1,1])+C[1,0]
FCIteratedIntegralSimplify[int]
ε3(C[1,2]FCIteratedIntegral(FCPartialFractionForm(0,({x,−1}−2),x),x)+C[1,1]FCIteratedIntegral(FCPartialFractionForm(0,({x,−1}−2),x)FCIteratedIntegral(FCPartialFractionForm(0,({x,−1}−2),x),x),x)+C[1,0]FCIteratedIntegral(FCPartialFractionForm(0,({x,−1}−2),x)FCIteratedIntegral(FCPartialFractionForm(0,({x,−1}−2),x)FCIteratedIntegral(FCPartialFractionForm(0,({x,−1}−2),x),x),x),x)+C[1,3])+ε2(C[1,1]FCIteratedIntegral(FCPartialFractionForm(0,({x,−1}−2),x),x)+C[1,0]FCIteratedIntegral(FCPartialFractionForm(0,({x,−1}−2),x)FCIteratedIntegral(FCPartialFractionForm(0,({x,−1}−2),x),x),x)+C[1,2])+ε(C[1,0]FCIteratedIntegral(FCPartialFractionForm(0,({x,−1}−2),x),x)+C[1,1])+C[1,0]