Timeline for Mathematica gives wrong result while Wolfram|Alpha is correct
Current License: CC BY-SA 3.0
4 events
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| Oct 12, 2013 at 1:16 | comment | added | Michael E2 |
No, NIntegrate gets it right. The problem is that Integrate takes an algebraic approach, and in this case, the interval $0 \le t \le 2$ seems to cross a branch cut of the antiderivative.
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| Oct 12, 2013 at 0:47 | comment | added | bobthechemist |
Thanks - I missed that. Does this suggest that the problem is with NIntegrate?
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| Oct 12, 2013 at 0:39 | comment | added | Michael E2 |
Note that Integrate[Sqrt[(2. t)^2 + (4. - 3. t^2)^2], {t, 0, 2}] returns unevaluated, so the // N basically converts it to an NIntegrate.
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| Oct 12, 2013 at 0:20 | history | answered | bobthechemist | CC BY-SA 3.0 |