# How do you find the definite integral of #sqrt(y+1)*dy# from #[-1, 0]#?

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To find the definite integral of √(y + 1) dy from -1 to 0, you can use the substitution method. Let u = y + 1, then du = dy. The integral becomes ∫√u du. Evaluate the integral of √u with respect to u, and then replace u with y + 1. Finally, evaluate the expression at the upper and lower limits of integration, and subtract the result of the lower limit from the upper limit to find the definite integral value.

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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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