# How do you integrate #dy / (4(y^(1/2))#?

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To integrate dy / (4(y^(1/2))), you can use the substitution method. Let u = y^(1/2), then dy = 2u dy. Substituting these into the integral, you get: ∫(dy / (4(y^(1/2)))) = ∫(1 / (4u)) * (2u dy) = (1/2) ∫du = (1/2) * ln|u| + C = (1/2) * ln|y^(1/2)| + C = (1/2) * ln|√y| + 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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