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Question: How to verify a function is an antiderivative of another function

Question:How to verify a function is an antiderivative of another function

aazz 40 Maple 17
derivative diff
December 07 2013
0

I want  to verify the following function expression

is indeed an antiderivative of the function expression

where  A>0 with B^2-4*A*C<0.

I have tried the command

>diff((2),x);simplify(%);

where (2) is the label of the antiderivative expression.  But the result is very awkarward and lengthy. How could I verify the antiderivative expression is indeed an antiderivative of the other function by using Maple 17? 

 
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