Simpson'schen Regelrestart: Digits:=5: f:=(x) -> x*ln(x); a:= 1; b:= 2;

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plot( diff(f(x), x$4) , x=a..b );

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Integ:= evalf( (b-a)/6 * (f(a)+4*f((a+b)/2)+f(b) ) ) ;

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Fehler_Schranke:=evalf(eval( diff(f(x), x$4) , x=1 )*1/2880 * (b-a)^5 );

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Tat_Fehler:= evalf( int(f(x), x=a..b) - Integ );

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