I have encountered a problem in using integral

integral(x * sqrt((-2*cos(x))^2 + (2*sin(x))^2), x, 0, pi)

correctly gives pi^2

but

integral(sin(x) * sqrt((-2*cos(x))^2 + (2*sin(x))^2), x, 0, pi)

results in a complaint that Maxima encountered a Lisp error: 2 is not
of the type LIST.

Why so? Any help?

Thanks in advance

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