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Questions tagged [asymptoticintegrate]

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3 votes
1 answer
107 views

Asymptotic integral expansion at infinity [closed]

Define for all $n\in\mathbb{N}$, a definite double integral, $$I_n= \int_{0}^{1}\int_{0}^{1}\left(\frac{x^2(1-x)y^2(1-y)}{1+x^2 y^2}\right)^n\frac{\cos((2n+1)\tan^{-1}(xy))}{\sqrt{1+x^2y^2}}\ dxdy$$ ...
Max's user avatar
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1 vote
1 answer
96 views

Integrate doesn't give a result for non-linear functions

I use Acegen for Finitie Element formulation that gives out residuals and tangents by taking in the field values as inputs. For this in my residual formulation I need to integrate a nonlinear term ...
AceRox's user avatar
  • 13
0 votes
1 answer
206 views

AsymptoticIntegrate of a difficult integral [closed]

I would like to use AsymptoticIntegrate to address this problem: to get an asymptotic expression for: $$\int\limits_0^\infty \frac{\sin (\sin x)}{\Gamma (x+1)} \ln ...
David G. Stork's user avatar