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

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

ur mom

step-by-step explanation:

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