aniq integrallarni taqribiy hisoblash

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1576504315.doc [ ] b а , ) ( x f ò b a dx x f ) ( = × » 1 24 18 849548 0 8274025 , ,   1 24 18849548 08274025, , [ ] b а , b x x x x a n = a a x 1 ò 1 0 a x dx ( ) ï î ï í ì > ¥ sonni olamiz. shartga ko`ra f(x) funksiya da integrallanuvchi. demak integral v ning funksiyasi bo`ladi f(b)= . y 0 x=a x=b x ta`rif. agar da chekli limit mavjud bo`lsa, bu limitga f(x) funksiyaning oraliqdagi xosmas integrali deyiladi va ko`rinishda yoziladi. demak ta`rifga ko`ra = bo`ladi. bu holda xosmas integralni mavjud yoki yaqinlashuvchi deyiladi. agar - chekli limit mavjud bo`lmasa, u holda xosmas integralni mavjud emas yoki uzoqlashuvchi deyiladi. agar f(x)>0 desak xosmas integralning geometrik ma`nosi chiziqlar orasidagi cheksiz soha yuzini ifodalashi chizmadan ko`rinadi. …

ndagi integral mavjud bo`ladi. 1-teorema. agar f(x) va funksiyalar da uzluksiz bo`lib, tengsizlikni qanoatlantirsa, u holda xocmas integral yaqinlashuvchi bo`lsa xosmas integral integral ham yaqinlashuvchi, agar uzoqlashuvchi bo`lsa integral ham uzoqlashuvchi bo`ladi. 2-teorema. agar funksiyalar da uzluksiz bo`lib, tengsizlikni qanoatlantirib va x=b nuqtada uzlukli bo`lsalar, u holda integral yaqinlashuvchi bo`lsa, integral ham yaqinlashuvchi bo`ladi, agar uzoqlashuvchi bo`lsa, integral ham uzoqlashuvchi bo`ladi. misol. ( o`zgarmas son). f(x)= funksiya x=0 nuqtada uzulishga ega = � embed equation.2 �� у= f (x) у=f(x) (x) _1405508865.unknown _1405508898.unknown _1405508914.unknown _1405508930.unknown _1405508939.unknown _1405508943.unknown _1405508947.unknown _1405508949.unknown _1405508951.unknown _1405508953.unknown _1405508954.unknown _1405508952.unknown _1405508950.unknown _1405508948.unknown _1405508945.unknown _1405508946.unknown _1405508944.unknown _1405508941.unknown _1405508942.unknown _1405508940.unknown _1405508934.unknown _1405508936.unknown _1405508937.unknown _1405508935.unknown _1405508932.unknown _1405508933.unknown _1405508931.unknown _1405508922.unknown _1405508926.unknown _1405508928.unknown _1405508929.unknown _1405508927.unknown _1405508924.unknown _1405508925.unknown _1405508923.unknown _1405508918.unknown _1405508920.unknown _1405508921.unknown _1405508919.unknown _1405508916.unknown _1405508917.unknown _1405508915.unknown _1405508906.unknown _1405508910.unknown _1405508912.unknown _1405508913.unknown _1405508911.unknown _1405508908.unknown _1405508909.unknown _1405508907.unknown _1405508902.unknown _1405508904.unknown _1405508905.unknown _1405508903.unknown _1405508900.unknown _1405508901.unknown _1405508899.unknown _1405508882.unknown _1405508890.unknown _1405508894.unknown _1405508896.unknown _1405508897.unknown _1405508895.unknown _1405508892.unknown _1405508893.unknown _1405508891.unknown _1405508886.unknown _1405508888.unknown _140550888

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1576504315.doc [ ] b а , ) ( x f ò b a dx x f ) ( = × » 1 24 18 849548 0 8274025 , ,   1 24 18849548 08274025, , [ ] b а , b x x x x a n = a a x 1 ò 1 0 a x dx ( ) ï î ï í ì > ¥ sonni olamiz. shartga ko`ra f(x) funksiya da integrallanuvchi. demak integral v ning funksiyasi bo`ladi f(b)= . y 0 x=a x=b x ta`rif. agar da chekli limit mavjud bo`lsa, bu limitga f(x) funksiyaning oraliqdagi xosmas integrali deyiladi va ko`rinishda yoziladi. demak ta`rifga ko`ra = bo`ladi. bu holda xosmas integralni mavjud yoki yaqinlashuvchi deyiladi. …

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