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Who is fastest  round 2
Posted:
Jun 7, 2017 2:58 PM


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/((1x+2*x^2)^5*(2+x)^(11/2)*(32*x)^(1/2)),x)
INT(1/((1x+2*x^2)^10*(2+x)^(21/2)*(32*x)^(1/2)),x)
INT(1/((1x+2*x^2)^20*(2+x)^(41/2)*(32*x)^(1/2)),x)
and:
INT(1/((1x+2*x^2)^5*(2+x)^(1/2)*(32*x)^(11/2)),x)
INT(1/((1x+2*x^2)^10*(2+x)^(1/2)*(32*x)^(21/2)),x)
INT(1/((1x+2*x^2)^20*(2+x)^(1/2)*(32*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.



