Hi everyone
This is the problem: When i calculate the integral
Integrate[(500 (1.4 - Log[0.5 t + 1]))/(t + 2), t]
the output is:
So, what does it means?
In WholframAlpha the solution is:
And it can be solve “step-by-step”.
Why Mathematica does not work in the same way?
thank you very much for your help.
Hi Camilo,
I agree with you that the error should not happen, but it is caused by giving approximate values. Compare:
Integrate[500 (1.4 - Log[0.5 t + 1])/(t + 2), t]
and
Integrate[500 (7/5 - Log[t/2 + 1])/(t + 2), t]
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Thanks!
I think it would be helpful if symbolic functions like Integrate and Minimize automatically rationalized their inputs, rather than calling the numerical version (NIntegrate or NMinimize).
NIntegrate can only handle integrals that would result in a number. So NIntegrate[0.4 a b, {b, 0, 1}] can’t be done (but Integrate[0.4 a b, {b, 0, 1}] can be done). So I’m not sure if Integrate always calls NIntegrate when there are approximate values…