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

Question

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

Answer 1

D
you can integrate lnx/x dx, since 1/x dx = d(lnx)
But even something as simple as lnx/(x-1) dx cannot be done using elementary functions.

Answer 2

so, you mean answer D, right?

Answer 3

uh, yeah -- that's why I said D ...