it is correct that the integrate of x^-1 is ln(x) take absolute value of x
the other thing is the integrate of 3^x
the integrate of e^x = e^x ln(e) but since ln(e)= 1 so we didn't mention it
that's all
I just got back from a Calc II test.
There was one question which seemed bizarre; I copied it down and searched the textbook but couldn't find a match.
It's the integral from [0,2] of x^2 + x^-1 + 3^x. (We solve by the Fundamental Theorem of Calculus).
Am I correct in saying that the integral of x^-1 is ln|x|?
If I am, then the resulting evaluation for 0 gives me an undefined answer, correct?