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满意答案
clc, clear
syms u v
% 对D004 D013 D022 D031 D040 D103 D112 D121 D130 D202 D211 D220 D301 D310 D400将其赋值
fun=(cos(u))^4*D004+(cos(u))^3*sin(v)*sin(u)*D013+(cos(u)*sin(v)*sin(u))^2*D022+cos(u)*(sin(v)*sin(u))^3*D031+(sin(v)*sin(u))^4*D040+(cos(u))^3*cos(v)*sin(u)*D103+(cos(u)*sin(u))^2*sin(v)*cos(v)*D112+cos(u)*(sin(v))^2*(sin(u))^3*cos(v)*D121 + (sin(v))^3*(sin(u))^4*cos(v)*D130+(cos(u)*cos(v)*sin(u)).^2*D202+cos(u)*sin(v)*(sin(u))^3*(cos(v))^2*D211+(sin(v)*cos(v))^2*(sin(u))^4*D220+cos(u)*(cos(v)*sin(u))^3*D301+sin(v)*(sin(u))^4*(cos(v))^3*D310+(cos(v)*sin(u))^4*D400;
int(int(fun,u,[0,pi]),v,[-pi,pi])
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