https://iaeme.com/Home/journal/IJRMC 15 editor@iaeme.com International Journal of Research In Mathematics and Computation (IJRMC) Volume 10, Issue 1, January – June 2024, pp. 15-17, Article ID: IJRMC_10_01_003 Available online at https://iaeme.com/Home/issue/IJRMC?Volume=10&Issue=1 ISSN Print: 2348-151X and ISSN Online: 2348-1528 Impact Factor (2024): 11.98 (Based on Google Scholar Citation) © IAEME Publication INTEGRATION BY PARTS: ANOTHER SOLUTION TO PROBLEMS IN INTEGRATING INDEFINITELY FUNCTIONS WHICH CAN’T BE DONE SO BY THE GENERAL METHOD Dhritiman Niyogi India ABSTRACT Since the period calculus was discovered by W.G. Leibneitz and Sir Issac Newton it had two parts i) Differential Calculus and ii) Integral Calculus Off Course Differentiation and integration are two opposite operations. Differentiation can be done for most of the functions. However as far as integration is concerned there are some functions which can’t be integrated by indefinitely by direct method. We are going to perform integration indefinitely by a special method with the help of which integration can be done by summation and differentiation only. Keywords: Integration, Parts, Calculus, Indefinite, Functions Cite this Article: Dhritiman Niyogi, Integration by Parts: Another Solution to Problems in Integrating Indefinitely Functions Which Can’t Be Done So by The General Method, International Journal of Research in Mathematics and Computation (IJRMC), 10(1), 2024, pp. 15-17. https://iaeme.com/MasterAdmin/Journal_uploads/IJRMC/VOLUME_10_ISSUE_1/IJRMC_10_01_003.pdf INTRODUCTION Some of the typical functions can’t be integrated directly. But the problem can be solved by some trick which is found to be very successful. We now show the method of integration for some typical functions by our method.