The discussion revolves around finding the integral of the function (3x^2)/(x^3 + 2) with participants exploring various approaches and considerations related to integration techniques.
Participants are actively exploring different approaches to the problem, with some suggesting substitution and others questioning its appropriateness in the context of the pre-test. There is a recognition of the form of the integral and its implications, but no consensus has been reached on the best method to proceed.
The original poster notes that the integral is part of a pre-test, which may impose constraints on the methods that can be used. This context raises questions about the appropriateness of certain techniques, such as substitution.
Substitution is probably the easiest technique, and the one that should be tried first. I can't think of any other way to do this problem.iaing94 said:Substituting was my first thought, however this question is part of a pre-test I am doing for homework, and there is a section on substituting later on in the paper, so I am guessing I'm not supposed to use that here. Is there another way doing it?
Jamo1991 said:For equations of this form, where the numerator is the derivative of the denominator, the integral is simply the natural logarithm of the denominator. So in this case it would be ln|x^3+2| + a constant of integration.