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. , ( ) .

f(x), a b N . Δx Δx=(b-a)/N.

, , , , . ( ) , , . sin x .

1. .

Δx :

, xi .

 

z:=0;

dx:=(b-a)/N;

x:=a+dx/2;//

for i:=1 to N do

begin

z:=z+Sin(x);

x:=x+dx

end;

z:=z*dx;

 

2. .

 

.

 

z:=(Sin(a)+Sin(b))/2;

dx:=(b-a)/N;

x:=a+dx;

for i:=1 to N-1 do

begin

z:=z+Sin(x);

x:=x+dx

end;

z:=z*dx;

 

3. ().

, N 2 , , 2

.

.

 

ReadLn(a,b,N);

Integ:=Sin(a);

dx:=(b-a)/N;

for i:=1 to N div 2 do

begin

x:=a+2*i*dx;

Integ:=Integ+2*Sin(x)+4*Sin(x-dx);

end;

Integ:=(Integ-Sin(b))*dx/3;

WriteLn(Integ:10:5);

Itoch:=-(Cos(b)-Cos(a));

WriteLn(Itoch:10:5);

ReadLn;

 



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