MATLAB: Integration is not as I expect

different answerintegration

Hi all, Please I have an integration I am trying to solve using matlab. The integration derived me crazy because i know the output and matlab does not give me the same answer.
my code is simple and as follow
syms U_0 x L v X
U=U_0*(1-(x/L));
y=((((0.45*v)/(U^6))*(int(U^5,x,0,x))))
The answer I got is
y= (3*v*x*(6*L^5 - 15*L^4*x + 20*L^3*x^2 - 15*L^2*x^3 + 6*L*x^4 - x^5))/(40*L^5*U_0*(x/L - 1)^6)
While the right answer I should receive is
y= (0.075*L*v*(1/(x/L - 1)^6 - 1))/U_0

Best Answer

And you are absolutely positive that the two forms are not mathematically equivalent? You have checked that carefully?
The thing about symbolic computations is the computer need not return a result that is in exactly the form you recognize. That need not make it wrong.
So why not look more carefully at that result? You might surprise yourself.
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