Hello, I am currently working on a problem that requires the integration of an expression that I can't seem to figure out. The problem goes:
Integral from 0 to 2 of: (((t^2)+2t+2)/((1+t)^4))^1/2
So far, I know that I have to use u-substitution and I set u = 1+t, so du = dt. Now, i have
Integral of: ((u^2 + 1)^1/2)/(u^2)
but after this, I don't know how to continue integrating. Could anyone please help me?????
actually, if you don't mind, there is one other problem that i've been having. I'm sorry to bug you so much.
I have to prove that if x = asin(theta) and y = bcos(theta), show that the total length of the ellipse is:
L = 4a * integral (from 0 to pi/2) of: 1 - ((e^2)sin(theta)^2))^1/2 (d(theta))
I am almost there, but i came across this part:
L = integral of: (a^2) - (c^2)(sin(theta)^2) and i'm not sure how to make the connection to find e^2. Any ideas????