First we find the indefinite integral of 3(3*x* + 1)^{5}. Let *u* = 3*x* + 1 and *u*' = 3. Then This is the family of all antiderivatives of 3(3*x* + 1)^{5}. To get one antiderivative, we pick a value of *C*. The simplest choice is *C* = 0. This gives us the antiderivative |