John R.

I'm totally lost here: x= tcost y= tsint -1<or= t <or=1 find the arc length...   I understand the point is to find an anti-derivative using the sqrt of each term's derivative squared and... more

Since integrating for area under a parametric curve requires a known direction, is there a way to determine the direction (clockwise/counterclockwise) of a parametric curve without plugging in... more

I have this problem:  Evaluate the integral (x^2-2)/(x^4+3) from 1 to infinity using a comparison test (evaluate if converging).  I understand the basic idea is to find a function with a graph... more

I understand that as x approaches (+) infinity, e^x = infinity. I also understand that as x approaches (-) infinity, e^x = 0.  The graph makes sense. So, as x approaches (-) infinity, -e^x =... more