Final answer:
To find groups of the form (I, °) with I being the indefinite integral, calculate the integral of f to obtain the general solution F(x) + C. These functions form a group under composition, and the integral of odd functions over all space is zero, aiding in simplification.
Step-by-step explanation:
The question is inquiring about how to find groups of the form (I, °), where ° denotes the composition of functions, and I represent the indefinite integral of a function f that admits primitives. To form such a group using the indefinite integral, first, you need to find the general form of the indefinite integral of the function f, which is frequently denoted as F(x) + C, where C is an arbitrary constant. The set of all such functions F(x) + C forms a group under function composition, as the composition of two such functions is another function of the same form. It's also important to recognize that the integral of an odd function over all space is zero, as indicated by the provided reference material. This property can be useful in simplifying calculations when working with symmetrical intervals around the y-axis.