The acceleration (a) of moving particle varies with displacement according to the following relation ` a = X^(2)+3X`, Then correct relation between velocity and displacement is :-

Options

A. ` v = sqrt((x^(3))/(3) + (3x^(2))/(2) + C )`
B. ` v = sqrt((2)/(3)3x^(3) + 3x^(2)+ C)`
C. `V = ((2)/(3) x^(3) + 2x^(2) + C )`
D. ` v= 2x + 3 ` , Where C = (Constant)

Answer

B