** [bugs:#2787] gives wrong answer and asks redundant questions - integrals**

**Status:** open

**Group:** None

**Created:** Tue Jul 22, 2014 02:34 AM UTC by dan hayes

**Last Updated:** Tue Jul 22, 2014 02:34 AM UTC

**Owner:** nobody

wxMaxima version: 13.4.0

Maxima version: 5.31.1

Maxima build date: 2013-09-24 09:49:12

Host type: i686-pc-mingw32

Lisp implementation type: GNU Common Lisp (GCL)

Lisp implementation version: GCL 2.6.8

(assume(a>1/16,b>4*a,c>4*b),t:integrate(1/(a^2+b^2*k^2+c^2*k^4),k,-inf,inf));

Now it is obvious the integral is positive definite and not infinite.

it asks is -b^2+2*a+1/8 pos,neg,or 0 and i answer negative and it comes out with WRONG answer of 0. Next:

(assume(a>0,a<1/16,b>1,c>4*b),t:integrate(1/(a^2+b^2*k^2+c^2*k^4),k,-inf,inf));

Now it asks the same ridiculous question again which has to be negative which is obvious

negative from the given assumes Anyway i answer negative and again gives WRONG answer 0.

Next do:

(t:integrate(1/(1/300+2*k^2+300*k^4),k,-inf,inf)); and it gives 5*sqrt(3)*pi which i have not checked but assume correct? Anyway obviously the values could have been exactly these for

example in the last integral which it gave answer WRONG OF 0.

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