Multiply top and bottom by the conjugate.
Hey everyone. I've been trying to find the length of this parametric curve, but haven't had much luck.
After finding and and substituting them into the formula for curve length, I got:
After this, I tried u-substitution, but couldn't figure out how to eliminate the resultant :
I consulted Wolfram Alpha as a last result, but couldn't figure out how they got the
Help would be greatly appreciated!
Sorry, I turned off my computer last night and then proceeded to solve the problem using the conjugate method.
I also really appreciate Soroban's method, which is a nice use of the power-reducing formula.
Thanks a lot for the help!