SOLUTION: Evaluate the integral the integral of the product of the quantity x times the square root of 1 minus x, dx. negative x squared over 3 times the quantity 1 minus x raised to the

Question 1025369: Evaluate the integral the integral of the product of the quantity x times the square root of 1 minus x, dx.
negative x squared over 3 times the quantity 1 minus x raised to the three-halves power, plus C
x squared over 3 times the quantity 1 minus x raised to the three-halves power, plus 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
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
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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Integrate by parts,

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So then,

and

Putting it all together,

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