The table on the left gives various examples
of indefinite integrals.
The method to calculate the antiderivative
or indefinite integral can be better understand by finding the antiderivative
of function f '(x) = x2 when f(1) = 7/3.
The indefinite integral rules gives that
The antiderivative of the given function f '(x) = x2
can be expressed as
In order to determine the constant c, substituting f(1) = 7/3 into the
f(1) = 1/3 + c = 7/3