integrate(sqrt(1+cos(x)^2),x)



Hi,

using Maxima 5.31.2 I tried this:

integrate(sqrt(1+cos(x)^2),x) and get nothing but the input.

When loading abs_integrate, the result is an error:

sign: argument cannot be imaginary; found %i
#0:
intfudu(exp=sqrt(6*%e^-(2*%i*x)+%e^-(4*%i*x)+1)*%e^(%i*x),%voi=x)(partition.
mac line 95)
#1: extra_integrate(q=sqrt(6*%e^-(2*%i*x)+%e^-(4*%i*x)+1)*%e^(%i*x),x=x)
 -- an error. To debug this try: debugmode(true);

Maple gives:

{sqrt(sin(x)^2)*EllipticE(cos(x),i)}/sin(x)

Can this be done in Maxima?

Best regards, Martin Kraska