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Maxima is the culprit
sage: integrate(cos(1/2*x)*sqrt(4-x^2)+x,x, algorithm='fricas')
integral(sqrt(-x^2 + 4)*cos(1/2*x) + x, x)
sage: integrate(cos(1/2*x)*sqrt(4-x^2)+x,x, algorithm='maxima')
1/2*x^2
sage: integrate(cos(1/2*x)*sqrt(4-x^2)+x,x, algorithm='giac')
integrate(sqrt(-x^2 + 4)*cos(1/2*x) + x, x)
sage: integrate(cos(1/2*x)*sqrt(4-x^2)+x,x, algorithm='sympy')
integrate(sqrt(-x^2 + 4)*cos(1/2*x) + x, x)
