Defining a constant 'a' as a limit of integration

hello can can anybody help me with this y(h-y)dy integrate with respect to y with lower limit of 0 and upper limit of a*sqrt(3)

a is a constant h is a variable how do I get Matlab to accept a as a constant or simply get Matlab to understand that the upper limit is simply a scalar multipe of sqrt(3)

Thank you I really appreciate any help

Answer 1

[Andrei Bobrov]

syms y h a
out = int(y.*(h-y),y,0,a*sqrt(3))

e.g.

subs(out,[a h],[1 1])

OR

h = 1;a = 1;
out = quad(@(y)y.*(h-y),0,a*sqrt(3))