integrate gives wrong result when using maxima

[sagetrac-stassev]

I'm using sage 8.0. Here is what I get:

sage: b,c,d=var('b c d')

sage: integrate(sqrt(b*cos(x)^2 + c*sin(x)^2 + 2*d*sin(x)*cos(x)), x, 0, 2*pi,algorithm='maxima')

-1/2*pi*b

That answer cannot possibly be correct, as the integrand is symmetric in b and c (you can substitute x with pi/2-x ...). Checking the answer numerically shows that it is indeed wrong.

Component: symbolics

Issue created by migration from https://trac.sagemath.org/ticket/24316

[rwst]

comment:2

See also #18599, #18821, #24117.