Several Integrability Formulas of Special Functions. Part II

In this article, we give several differentiation and integrability formulas of special and composite functions including the trigonometric function, the hyperbolic function and the polynomial function [3]. For simplicity, we adopt the following rules: r, x, a, b denote real numbers, n, m denote elements of N, A denotes a closed-interval subset of R, and Z denotes an open subset of R. One can prove the following propositions: (1)(i) (1 2 +0) − 1 4 ((the function sin) ·(2+0)) is differentiable on R, and (ii) for every x holds ((1 2 +0) − 1 4 ((the function sin) ·(2+0))) R (x) = (sin x) 2 .