Published May 22, 2024 | Version v1
Journal article Open

AYRIM IRRATSIONAL KO'RINISHDAGI FUNKSIYALARNI TRIGONOMETRIK ALMASHTIRISHLAR YORDAMIDA INTEGRALLASH

Authors/Creators

Description

Ayrim murakkab ko‘rinishdagi ifodalarni integrallash davomida 
integral ostidagi irratsional funksiyaning ko‘rinishiga alohida e’tibor beramiz.
Quyidagi: ∫ 𝑅(𝑥, √𝑎
2 − 𝑥
2)dx, ∫ 𝑅(𝑥, √𝑎
2 + 𝑥
2)dx, ∫ 𝑅(𝑥, √𝑥
2 − 𝑎
2)dx 
ko‘rinishdagi integrallar, mos ravishda 𝑥 = 𝑎 𝑠𝑖𝑛𝑡, 𝑥 = 𝑎 𝑡𝑎𝑛 𝑡, 𝑥 = 𝑎 𝑠𝑒𝑐 𝑡, 𝑎 ∈
𝑅, 𝑎 ≠ 0, almashtirishlar natijasida ratsionallashtirilib hisoblanadi

Files

144-148.pdf

Files (399.9 kB)

Name Size Download all
md5:3666308289c108d0b93ef8d4348e4561
399.9 kB Preview Download