#2571 integrate(x/sqrt(1 - 4*x^4), x) gives the wrong answer

None
closed
nobody
None
5
2013-04-24
2013-04-23
No

integrate(x/sqrt(1-4*x^4),x) returns -atan(sqrt(1-4*x^4)/(2*x^2))/4, which is not correct. It should return asin(2*x^2)/4. The two answers differ by pi/8.

Discussion

  • Eviatar Bach

    Eviatar Bach - 2013-04-23

    Ah, never mind, just differs by a constant. Sorry.

     
  • Raymond Toy

    Raymond Toy - 2013-04-24

    Closing

     
  • Raymond Toy

    Raymond Toy - 2013-04-24
    • status: open --> closed
     

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