# What is #f(x) = int 1/(sqrt(x+3) dx# if #f(1)=7 #?

which simplifies to

and

Finally

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To find ( f(x) = \int \frac{1}{\sqrt{x+3}} , dx ) when ( f(1) = 7 ), you need to evaluate the definite integral of ( \frac{1}{\sqrt{x+3}} ) and then use the given condition to find the value of the constant of integration.

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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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