Recent content by ross1219

Great! Glad to help. That was fun. :)

u = lnx, du = (1/x) dx \frac{1}{4}∫u du Then apply power rule...

Hi, how about this: ∫eat sinωt dt u=sinωt du=ωcosωt dt v=∫eat dt = 1/a eat ∫eat sinωt dt = 1/a eat sinωt - ∫1/a eat ωcosωt dt ∫eat sinωt dt = 1/a eat sinωt - ω/a ∫eat cosωt dt u=cosωt du= -ωsinωt dt v=∫eat dt = 1/a eat ∫eat sinωt dt =...

Follow-up: The instructor admitted that this question was not valid, because the curve does not lie entirely on one side of the axis of revolution.

It looks like it converges only at x = 1.

Homework Statement Find the area of the surface generated by revolving the curve Homework Equations x = 5(cos3t), y = 5(sin3t), 0 ≤ t ≤ \pi, about the y axis. The Attempt at a Solution x' = -15(cos2t)(sin t) y' = 15(sin2t)(cos t) (I think this forms the top part of an astroid)...

Yes, I learned at least two good lessons here. Write out some terms of a series if necessary, and this forum rocks! Thanks again. :)

Thank you so much scurty! I should have tried that, but thought I was missing something basic algebraically. I truly appreciate your help!

Homework Statement Find a power series for the function, centered at c, and determine the interval of convergence. Homework Equations g(x) = 2 / (1-x^2) , c=0 The Attempt at a Solution 2 / (1+x)(1-x) = 1/(1+x) + 1/(1-x) 1/(1-(-x)) => Sum [(-1)^n (x^n)], n=0 to infinity. Converges when...