Title :
Using maple to study the integrals of trigonometric functions
Author_Institution :
Dept. of Manage. & Inf., Nan Jeon Inst. of Technol., Tainan, Taiwan
Abstract :
This paper uses Maple for the auxiliary tool to evaluate the integrals of two types of trigonometric functions. We can obtain the Fourier series expansions of these two integrals by using integration term by term. Our research way is to count the answers by hand, and then use Maple to verify our results. This research way can not only let us find the calculation errors but also help us to revise the original thinking direction because we can verify the correctness of our theory from the consistency of hand count and Maple calculations.
Keywords :
Fourier series; integral equations; integration; mathematics computing; symbol manipulation; Fourier series expansion; Maple calculation; calculation error; hand count consistency; integration term; trigonometric function; Software; Fourier series expansions; Maple; integrals; integration term by term; trigonometric functions;
Conference_Titel :
Advanced Infocomm Technology (ICAIT), 2013 6th International Conference on
Conference_Location :
Hsinchu
Print_ISBN :
978-1-4799-0464-8
DOI :
10.1109/ICAIT.2013.6621560