Can someone explain why sage (or perhaps maxima, I don't know) manages
to evaluate the indefinite integral below, but fails to give a numeric
answer to the definite integral? Seems odd to me. (version 3.02
running on Mac OS X)
sage: var('x')
x
sage: integral(sqrt(25-x)*sqrt(1+1/(4*(25-x))),x)
sqrt(4*x - 101)*(4*I*x - 101*I)/12
sage: integral(sqrt(25-x)*sqrt(1+1/(4*(25-x))),x,9,16)
integrate(sqrt(1/(4*(25 - x)) + 1)*sqrt(25 - x), x, 9, 16)
Thanks,
Roger
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