Questions tagged [algebraic-functions]
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2 questions
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Looking for easier methods to evaluate $\int_0^1x^4\sqrt{4x^2+1}~\mathrm dx$
This integral arose while I was solving one of the questions of my Calc-II end-semester examination today:
Q. If $\gamma=\big\{(x,y)~\big|~x=y^2,y\in[-1,1]\big\}$ and $f(x,y)=xy$, compute $\...
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can an algebraic function have even and or odd parts which are not algebraic?
question is in title; can an algebraic function have even and/or odd part not algebraic? I'm looking for a simple counterexample but failed to find one.
By $f(x)$ algebraic I mean $y=f(x)$ is a ...
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