KOMPYUTER ALGEBRA TIZIMLARI YORDAMIDA INTEGRAL HISOBLASHNI O‘QITISHNING DIDAKTIK IMKONIYATLARI

Authors

  • Eshbekova Gulxayo G’aybulla qizi Mustaqil tadqiqotchi Author

Keywords:

kompyuter algebra tizimi, CAS, Mathematica, Maple, integral hisoblash, karrali integral, vizuallashtirish, Yakobian, didaktik model.

Abstract

Tezisda kompyuter algebra tizimlari yordamida aniq, aniqmas va karrali integrallarni o‘qitishning didaktik imkoniyatlari tahlil qilinadi. Analitik yechim, rasmiy hisoblash va geometrik tasvirni o‘zaro bog‘lovchi metodik yondashuv taklif etiladi. Interaktiv topshiriqlarni tashkil etish, natijalarni tekshirish va talabaning mustaqil fikrlashini baholash mezonlari ishlab chiqiladi.

References

1. Wolfram Research. Integrate. Wolfram Language Documentation. https://reference.wolfram.com/language/ref/Integrate.html

2. Maplesoft. int — definite and indefinite integration. Maple Help. https://www.maplesoft.com/support/help/Maple/view.aspxpath=int

3. MathWorks. int — Definite and indefinite integrals. Symbolic Math Toolbox. https://www.mathworks.com/help/symbolic/sym.int.html

4. OpenStax. Calculus Volume 3. Section 5.3: Double Integrals in Polar Coordinates. https://openstax.org/books/calculus-volume-3/pages/5-3-double-integrals-in-polar-coordinates

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Published

2026-10-04