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## I can't solve integral symbolically [MC15]

Hello! My name is Ivan and I often use Mathcad 15 at my university.

I've been working on some task recently which involved symbolical calculations in Mathcad.

I faced a problem that one of the integrals just won't solve. I used Mathcad for over a year now and i have no clue how to fix this. Can someone tell me what's wrong?

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## Re: I can't solve integral symbolically [MC15]

Your integral leads to elliptic integrals of the first and second kind.

Here is Wolfram Alpha with the integral you basically try to calculate:

https://www.wolframalpha.com/input/?i=int+sqrt+%28a%2Bb%2Fx%5E4%29+dx

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## Re: I can't solve integral symbolically [MC15]

I believe if i substitute rho squared for x it would be possible to integrate by parts. May be its possible to somehow simplify it?

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## Re: I can't solve integral symbolically [MC15]

Unfortunately there is no "trick" to be able to simplify elliptical integrals.

Do you really need a symbolic solution? Of course providing specific values you can get a good numeric solution if you want.

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