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Topic: Who is fastest - round 2
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clicliclic@freenet.de

Posts: 1,245
Registered: 4/26/08
Who is fastest - round 2
Posted: Jun 7, 2017 2:58 PM
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Then I ducked my head and the lights went out,
and two guns blazed in the dark;
And a woman screamed, and the lights went up,
and two men lay stiff and stark.

How long does it take the popular integrators to evaluate the following
elementary indefinite integrals? Imagine them to appear in terms of some
series expansion:

INT(1/((1-x+2*x^2)^5*(2+x)^(11/2)*(3-2*x)^(1/2)),x)

INT(1/((1-x+2*x^2)^10*(2+x)^(21/2)*(3-2*x)^(1/2)),x)

INT(1/((1-x+2*x^2)^20*(2+x)^(41/2)*(3-2*x)^(1/2)),x)

and:

INT(1/((1-x+2*x^2)^5*(2+x)^(1/2)*(3-2*x)^(11/2)),x)

INT(1/((1-x+2*x^2)^10*(2+x)^(1/2)*(3-2*x)^(21/2)),x)

INT(1/((1-x+2*x^2)^20*(2+x)^(1/2)*(3-2*x)^(41/2)),x)

Derive fails to return closed solutions. Does Rubi beat FriCAS? Does
Maple beat Mathematica?

Martin.

PS: In case you want to look it up - the first round of "Who is fastest"
was posted on 27th March 2016.



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