if ∫ √x dx = F(x),F(x)=G(x)+c ,where c is a constant and f(9) = 20 ,then value of C? OPTION-0,1,2,3

Answer 1

∫x^1/2dx = x^3/2 / (3/2) + c = (2/3)x^3/2 + c

f(9) = 20 = (2/3)(9^3/2) + c

20 = (2/3)(27) + c = 18 + c

20 = 18 + c

c = 2