# How do you integrate #((4-x^2)^(1/2)) / x^2#?

Keeping trigonometric substitution in mind, the numerator is of the form:

With this substitution, we get:

So the final answer is:

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To integrate ((4 - x^2)^(1/2)) / x^2, you can use trigonometric substitution. Let x = 2sinθ. Then, dx = 2cosθ dθ. Substitute x = 2sinθ and dx = 2cosθ dθ into the integral. Simplify and use trigonometric identities to integrate. Finally, substitute back the expression for sinθ in terms of x to obtain the result in terms of x.

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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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