If (f) is a continuous function,explain what the anti-deriviative of (f) is,and the indefinite integral of (f)?

AN antiderivative of the function is any function which when differentiated gives the function f(x). The indefinite integral of f(x) is the set of all antiderivatives for a function. This distinction arises from the fact that the derivative of a constant is zero. Thus, an antiderivative for sin(x) might be -cos(x) + 12.1283, whereas the indefinite integral for sin(x) would be -cos(x) + C, where C denotes an arbitrary constant of integration.