ע:

0ڶػ,ÿһõֵĲ,㷨һػ㷨һ,ȻڲĻ,൱ڻٻ֡ЧŻ,!Ķػ,һά㷨кǶ׸ֻ㷨⡣ڳõĻֺһΪһ,ƽʱܻԳһЩػ֣ػػһʮѼ,Ҳ˱ṩһػΪ,ػΪ,ػֻṩһ{IntergalMultiple<\IntergalMultiple>}⡣ڶϵĻ,,һһػֵ㷨Ƕ׽,бд⼴ɡ

1һһػ, Ƽʹ{IntegralFun1D<\IntegralFun1D>}Ȳٳֺ

2ʹṩĺûн⣬һֺڻ֮ǰȽзֲֽб任,Ȼʹþ庯,

:

f="x^4/{sqrt<\sqrt>}(1-x^2)";//fıx[-1,1]Ͻл.ȷΪ1.17809724509617,ԭΪ(3*{asin<\asin>}(x))/8 - (1 - x^2)^(1/2)*(x^3/4 + (3*x)/8)

2.1ֽ

IntegralFun1D(f,-1,1)//س
ans =
[ 1.17809690918215 ]

IntegralGauss(f,-1,1)//س
ans =
[ 1.17315271031096 ]

IntegralRomberg(f,-1,1)//س
ans =
[ 1.18101348997353 ]

IntegralSimpson(f,-1,1)//س
ans =
[ 1.16551018102818 ]

IntegralCortez(f,-1,1)//س
ans =
[ 1.15972501785618 ]

2.2ֱֲ任
//y(x)=asin(x),z(x)=4*x^3*asin(x)
//Integral(f,-1,1)=y(1)-y(-1)-Integral(z,-1,1)=pi-Integral(z,-1,1)
//ҲֻҪ4*x^3*asin(x)ıx[-1,1]ϵĻּ,

z="4*x^3*asin(x)";

y=IntegralGauss(z,-1,1)//س
y =
[ 1.96349532599451 ]

pi-y//س
ans =
[ 1.17809732759528 ]

IntegralRomberg(z,-1,1)//س
ans =
[ 1.96349540849350 ]

pi-ans//س
ans =
[ 1.17809724509629 ]//Է,֮ǰûв÷ֲʱҪ
