Joe Koski asks about an integral which is taking forever.
I was curious to see what Maxima could do with a simple case of this
integral, so I set all the parameters to small numbers to simplify the
expression:
subst([a=1,b=0,c=0,d=1,x1=0,xp=0,yp=0,zp=1],bx);
=> 3*x^2/(sqrt(9*x^4+1)*((-x^3-1)^2+x^2+1)^(3/2))
== 3*x^2/(sqrt(9*x^4+1)*(x^6+2*x^3+x^2+2)^(3/2))
Maxima can't integrate this, so it seems unlikely that it can integrate
the integral with 8 arbitrary values of the parameters.
...though there are actually cases where Maxima can integrate a more
general case but not a special case, cf. bug report 917505:
assume(b>1)$
integrate(1/(cos(b*x)+b),x); Works
integrate(1/(cos( x )+1),x); Works
integrate(1/(cos(2*x)+2),x); Doesn't work