6.2. Приклад

f(x) = 1./(x.^3-2*x-5);

a=0;b=2;

>>Calc(0,2)

Quad=-0.4605017397424915300000000

Average=-0.4606716827319787300000000

error=0.0001699429894871928900000

Trapeze=-0.4605331327227011300000000

error=0.0000313929802095991310000

Simpson=-0.4605015410283554400000000

error=-0.0000001987141360904054500

Boole=-0.4605015338494139500000000

error=-0.0000002058930775872269700

6.3. Приклад

f(x) = 1./(x.^3-2*x-5);

a=4;b=25

>> Calc(4,25)

Quad=0.0338323451819149410000000

Average=0.0292945089372523070000000

error=0.0045378362446626339000000

Trapeze=0.0351806370273874400000000

error=-0.0013482918454724990000000

Simpson=0.0338683060321318400000000

error=-0.0000359608502168984320000

Boole=0.0338327815280179760000000

error=-0.0000004363461030346127400

6.4. Приклад

f(x) = sin(x)

a=0;b=pi/3

>> Calc(0,pi/3)

Quad=0.4999999984491942900000000

Average=0.5003893177063398800000000

error=-0.0003893192571455816900000

Trapeze=0.4999999578692092600000000

error=0.0000000405799850389243490

Simpson=0.5000000000000001100000000

error=-0.0000000015508058170965455

Boole=0.4999999999999998900000000

error=-0.0000000015508055950519406

6.5. Приклад

f(x) = sin(x)

a=0;b=2*pi

>> Calc(0,2*pi)

Quad=0.0000000000000000000000000

Average=-0.0000000000000015389365550

error=0.0000000000000015389365550

Trapeze=-0.0000000000000007694682775

error=0.0000000000000007694682775

Simpson=0.0000000000000002564894258

error=-0.0000000000000002564894258

Boole=-0.0000000000000001196950654

error=0.0000000000000001196950654

>>

6.6. Приклад

f(x) = x.*exp(x);

a=3;b=4.5;

>> Calc(3,4.5)

Quad=274.8888857072619200000000000

Average=274.8894171805587200000000000

error=-0.0005314732968031421500000

Trapeze=274.8888857059103000000000000

error=0.0000000013516228136722930

Simpson=274.8888857054510000000000000

error=0.0000000018109176380676217

Boole=274.8888857054510000000000000

error=0.0000000018109176380676217

6.7. Приклад

f(x) = x.*exp(x);

a=1;b=2;

>>Calc(1,2)

Quad=7.3890561013643419000000000

Average=7.3894159267114965000000000

error=-0.0003598253471546186700000

Trapeze=7.3890561053441060000000000

error=-0.0000000039797640738470363

Simpson=7.3890560989306486000000000

error=0.0000000024336932469282146

Boole=7.3890560989306504000000000

error=0.0000000024336914705713752

6.8. Приклад

f(x) =3/2*tan(x);

a= -1; b= -0.5;

>> Calc(-1,-0.5)

Quad=-0.7275633578850117000000000

Average=-0.7273897570355246600000000

error=-0.0001736008494870322500000

Trapeze=-0.7275633583682388200000000

error=0.0000000004832271249810560

Simpson=-0.7275633449134373300000000

error=-0.0000000129715743701908080

Boole=-0.7275633449134373300000000

error=-0.0000000129715743701908080

6.9. Приклад

f(x) =3/2*atan(x);

a= -1; b= -0.5

>> Calc(-1,-0.5)

Quad=-0.4778588169338283100000000

Average=-0.4776724443123614400000000

error=-0.0001863726214668681700000

Trapeze=-0.4778587911301530000000000

error=-0.0000000258036753075785440

Simpson=-0.4778588164112663700000000

error=-0.0000000005225619381654667

Boole=-0.4778588164112662600000000

error=-0.0000000005225620491877692