Could create a little procedure, but the funny thing is (as a side issue) it won't simplify the same inside the proc as it would outside.

dint := proc (a, b, c, d)
  simplify(subs(b = d, int(a, b))-subs(b = c, int(a, b))):
end proc:

dint(exp(x^3),x,1,2)

simplify(%)
 
whereas outside of the proc

no second simplify is necessary
 

@vv  you did mention it refuses to compute over 1..2 , which is incorrect.  I merely proved Maple does compute the answer. 

Works using numeric
int(exp(x^3), x = 1 .. 2, numeric)
                                                  275.5109838

@Carl Love thanks I converted it back to a post so Maplesoft would better notice it and hopefully answer

As far as my records show a Maple 6 search should have brought up 157 applications on the Maplesoft applications search but only brought up 43 applications

Using numeric brings up an undefined nasty

Change the order of your variable ranges in your first two examples, and see if they turn out correct. (I'm not around Maple today so I can't check)

@vv .. whoops yes, a two dimensional probability, sorry I made it out as two combining 1 dimensional probabilities. 

I appologize if the proof is wrong

Download statistics_two_distributions.mw

Probability(X<0) = 0.5
Probability(Y<0) = 0.5

Probability (X*Y<0) = 0.1193124670

@vv  The answer you produced is for 4 normal distributions.  And Maple computes that correctly.

If all distributions in Maple were classified as Normal, Maple would arrive at the same answer Mathematica came up with.

Alternatively it could suggest that it was user error and Mathematica was actually calculating the CDF of four Normal distributions and not two normal and two uniform distributions.  And in a haste to broadcast the error, the op didn't realize the difference. 

Markiyan, are you sure Mathematica wasn't calculated with four normal distributions?

Maple 2016 offers the same as Maple 12 but you have to tell it

Which one is right?  equating the two (mathematica and maple) brings up a fail

Maple 12 outputs

@acer thanks for filling in the missing versions.  I didn't realize I had missed so many.  I was using mapleprimes to search for update release notices as a rough guide.

As for calculating the computed dates, I based it on the month they were released in. 

version number = year + 1/12 * (month released in -1 ) # for some rough positioning in the graph.

@Carl Love ... but you would loose the web browser bookmarking list going from computer to computer.  It would be better as a bookmark at mapleprimes.

The only way to reserve a question or post is to favorite it.  Can we add topics of lesser interest but still interesting as a bookmark?  Would be nice to add bookmarks.