Question

Which of the following choices will most easily evaluate the integral of [L(x)]/[P(x)] dx, where L(x) is a logarithmic function and P(x) is a polynomial?

a) Integrate the polynomial function and differentiate the logarithmic function.
b) Integrate the logarithmic function and differentiate the polynomial function.
c) Differentiate the L(x)/P(x), and integrate dx.
d) The antiderivative cannot be found using integration by parts

Answer 1

I think D
Unless it's just logx/x or something where the denominator is the derivative of the numerator (so it is just p(u) du with p a polynomial) it will not succumb using elementary functions.