I compared the results of an integration exercise, one was done by Mathematica Alpha, the other one was done by hand on my own. I'm sure MA is right, however I could not find out which step went wrong on my own calculation. Could anybody help? Can MA show the intermediate steps?
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$\begingroup$ Were you using W|A on mobile? This has steps for me: wolframalpha.com/input/… $\endgroup$– Greg HurstOct 17, 2016 at 17:51
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1$\begingroup$ Your mistake is assuming $\sqrt{1 - \sin^2(x)} = \cos(x)$, when it actually equals $|\cos(x)|$. $\endgroup$– Greg HurstOct 17, 2016 at 17:52
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$\begingroup$ Followed your link, the result was more or less the same as I posted here. The question is how MA got the last Indefinite integral listed above, and the result should be zero if substitute Pi and 0 into it, not as the answer 1.33333 listed in the begining. $\endgroup$– PutterboyOct 17, 2016 at 18:11
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$\begingroup$ Here is the link I got the result listed above:wolframalpha.com/widgets/… $\endgroup$– PutterboyOct 17, 2016 at 18:14
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$\begingroup$ Are you on mobile? In my browser (on my desktop) that link has a step-by-step button. The mobile app has step-by-step solutions. $\endgroup$– Greg HurstOct 17, 2016 at 18:14
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1 Answer
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WolframAlpha["Integrate[Sqrt[Sin[x]-Sin[x]^3],{x,0,Pi}]", {{"Input",
2}, "Content"}, PodStates -> {"Input__Step-by-step solution"}]
answered Oct 17, 2016 at 18:30