2
$\begingroup$

Why does the behave this particular way:

    WolframAlpha["integrate integrate x times y from x=0 to 1 and from y=-1 to 1", IncludePods -> "Input", AppearanceElements -> {"Pods"}, 
 TimeConstraint -> {60, Automatic, Automatic, Automatic}, 
 PodStates -> {"Input__Step-by-step solution"}]

The solution is correct. Since the y-integration is symmetric by the interval and the integrant is antisymmetric, the solution is zero.

Problem remains, no steps given by the WolframAlpha function.

$\endgroup$
2
  • 3
    $\begingroup$ Bivariate definite integration show-steps might not be a supported pod state. $\endgroup$ Commented Jan 13, 2020 at 22:07
  • 1
    $\begingroup$ @DanielLichtblau This is correct. Alpha only has steps for univariate integrals. $\endgroup$
    – Greg Hurst
    Commented Jan 15, 2020 at 17:58

1 Answer 1

3
$\begingroup$

You can split it into two steps:

WolframAlpha[" integrate x times y from x=0 to 1 ", IncludePods -> "Input", 
AppearanceElements -> {"Pods"}, TimeConstraint -> {60, Automatic, Automatic, Automatic}, 
PodStates -> {"Input__Step-by-step solution"}]

and

WolframAlpha["integrate y/2 from y=-1 to 1", IncludePods -> "Input", 
 AppearanceElements -> {"Pods"},  TimeConstraint -> {60, Automatic, Automatic, Automatic}, 
PodStates -> {"Input__Step-by-step solution"}] 

Perhaps, the final result of the first step, i.e. y/2, can be entered in the second step programmatically.

PS. I am aware of "So questions about WolframAlpha[] and related Mathematica functions are ok, but not questions such as this one seems to be about the workings of W|A". However, the use of W|A in Mathematica is the only known to me way to obtain step-by-step solutions in Mathematica so I posted this answer.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.