# How do you find the indefinite integral of #int root3x/(root3x-1)#?

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To find the indefinite integral of ∫√(3x)/(√(3x) - 1), you can use the substitution method. Let u = √(3x) - 1, then du = (1/2√(3x))dx. Rearrange to solve for dx: dx = 2√(3x)du. Substitute these expressions into the integral and simplify. This will result in a simpler integral in terms of u. Integrate with respect to u, then replace u with the original expression involving x. Finally, add the constant of integration, usually denoted as C.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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