Calculate the integration of Maxima



Hi all,
 
 Now I try to solve three equations in Maxima:
 
 dy(x)/d(x) = x and y(2) = 0 and y(x) = 0.
 
 If I do it manually, I do it as follows:
 
 dy(x)/dx = x --> y = (x^2)/2 + C
 y(2) = 0 --> C = -2
 y(x) = 0--> (x^2)/2 - 2 = 0 --> x = 2 or x = -2.
 
 However, I do not know how to deal with these three equations in Maxima to find the value of x.
 
 When I try to calculate the integration of dy(x)/dx = x in Maxima
 
 (%i1) integrate(x,x)
 (%o1) (x^2)/2
 
 The result returned by Maxima does not include the constant C, so I do not know how to continue in Maxima to find the results.
 
 If anyone knows, please help me. I appreciate for that. Thanks.
 
 Nguyen,