Answer :
First solve the function by integrating the 2nd derivative of the function two times. Since the y’’ = 6x
Integrating
Y’ =∫ 6x
y’ = 6 (x^2)/2
y’ = 3(x^2) + c
integrating it further to solve the function
y =∫ 3(x^2) + c
y = 3(x^3)/3 + c1
y = (x^3) + c1
to solve c1
substitute the point (1,1)
1 = (1^3) + c1
C1 = 0
So the function is
y = x^3