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The general form is (2/3)*x^(3/2) + C

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Q: What is the integral of the square root of x?
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What is the integral of the square root of x minus 1 squared?

the integral of the square-root of (x-1)2 = x2/2 - x + C


What is the integral of x to the half?

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Can the square root of x be added to the square root of 3x?

No. The Square root of x is not the value of x. So it can not be simplified beyond: Root X + root 3x Yes. The square root of 3x equals the square root of 3 times the square root of x, so when you add another square root of x, you can factor out the square root of x, thereby simplifying the expression to the square root of x times the sum of one plus the square root of three.