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 ...

Note: This only works when \(x\) is measured in radians. We are now going to look at more complex trigonometric functions where we will use the general rule: \(\int {\cos (ax + b)dx = \frac{1}{a}} ...

The goal here is to build a Scheme program that can do calculus symbolically. The ideal is for it to be able to handle any derivative or integral found in standard undergraduate calculus, although ...

Remember that integration is the inverse procedure to differentiation. So, if you can do trigonometric differentiation, you can do trig integration.

Research in inequalities and integrals within the realm of fuzzy and interval-valued functions has advanced our understanding of uncertainty quantification and non-linear analysis. This field ...