Evaluate the integral the integral of the product of the quantity x times the square root of 1 minus x, dx .
a. negative x squared over 3 times the quantity 1 minus x raised to the three-halves power, plus c
b. x squared over 3 times the quantity 1 minus x raised to the three-halves power, plus c
c. the quotient of the quantity 2 minus 3 times x and 2 times the square root of the quantity 1 minus x, plus c
d. negative 2 divided by 15 times the quantities 2 plus 3 times x and the quantity 1 minus x raised to the three halves power, plus c