Integrability Formulas. Part II

The terminology and notation used here have been introduced in the following articles: [12], [13], [2], [3], [9], [1], [6], [11], [14], [4], [18], [7], [8], [5], [19], [10], [16], [17], and [15]. For simplicity, we use the following convention: a, x are real numbers, n is an element of N, A is a closed-interval subset of R, f , h, f1, f2 are partial functions from R to R, and Z is an open subset of R. The following propositions are true: (1) Suppose that (i) A ⊆ Z, (ii) f = 1 (the function sin) (the function cos) , (iii) Z ⊆ dom((the function ln) ·(the function tan)), (iv) Z = dom f, and (v) f is continuous on A.