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Question Number 133872 by MJS_new last updated on 24/Feb/21

∫(dx/((x^2 −1)(√(x^4 −1))))=?

$$\int\frac{{dx}}{\left({x}^{\mathrm{2}} −\mathrm{1}\right)\sqrt{{x}^{\mathrm{4}} −\mathrm{1}}}=? \\ $$

Commented by MJS_new last updated on 24/Feb/21

I can solve it but maybe there′s an easier path...

$$\mathrm{I}\:\mathrm{can}\:\mathrm{solve}\:\mathrm{it}\:\mathrm{but}\:\mathrm{maybe}\:\mathrm{there}'\mathrm{s}\:\mathrm{an}\:\mathrm{easier}\:\mathrm{path}... \\ $$

Commented by Olaf last updated on 24/Feb/21

Not easy. Elliptic function.

$${Not}\:{easy}.\:{Elliptic}\:{function}. \\ $$

Commented by MJS_new last updated on 24/Feb/21

yes. I found a solution with both Elliptic  functions E and F

$$\mathrm{yes}.\:\mathrm{I}\:\mathrm{found}\:\mathrm{a}\:\mathrm{solution}\:\mathrm{with}\:\mathrm{both}\:\mathrm{Elliptic} \\ $$$$\mathrm{functions}\:\mathrm{E}\:\mathrm{and}\:\mathrm{F} \\ $$

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