Laboratoriya mashg’uloti 1

Program integral1(input,output);

Uses crt;

var a,b,h,s,J:real;

i,n:integer;
{nostandart funktsiyani tavsiflaymiz}
function f(x:real):real;

begin

f:=ln(x*x+3*x+1);

end;

begin clrscr;

write(‘quyi chegara a=’); readln(a);

write(‘yuqori chegara b=’); readln(b);

write(‘bo’laqlar soni n=’); readln(n);

s:=(f(a)+f(b))/2; h:=(b-a)/n;

for i:=2 to n do

s:=s+f(a+(i-1)*h);

J:=h*s; textcolor(13);

writeln(‘integral kiymati J=’,J:3:4);

end.

Amaliy ishni bajarish uchun topshiriqlar
1. Ifodaning qiymatini toping lga + lgb, agar lg(0,01ab) = 2,5
2. Ifodaning qiymatini toping 9*7^log₇³
3. Ifodaning qiymatini toping 16^log₄³
4. Ifodaning qiymatini toping log₃11*log₁₁27
5. Ifodaning qiymatini toping (log₉81)*(log₂64)
6. Ifodaning qiymatini toping 6*4^log₄³
7. Ifodaning qiymatini toping 13^log₃²
8. Ifodaning qiymatini toping log₃12*log₁₀23
9. Ifodaning qiymatini toping (1-log₂18)(1-log₉18)
10. Ifodaning qiymatini toping 18^log₄⁶
11. Ifodaning qiymatini toping (log₆61)*(log₃54)
12 Ifodaning qiymatini toping log₃15*log₁₁24
13 Matematik kutubxonaning (math.h) standart funktsiyalaridan foydalanib, lg (exp (100) va ln (exp (100)) qiymatlarini hisoblang.
14 1dan 10 gacha bo’lgan sonlarni natural logorifmlarini chiqaruvchi dastur tuzing.

Nazorat savollari

1. 
   Aniq integralni hisoblashning asosiy formulasini yozing va izoxlang
   
2. 
   Qaysi hollarda integralning kiymati taqribiy hisoblanadi?
   
3. 
   Integralning kiymatini taqribiy hisoblashning qanday usullarini bilasiz?