# How do you evaluate #int# #dx/(x^2sqrt(x^2 - 9))# with x = 3sec(#theta#)?

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Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.)

#int# #dx/(x^2sqrt(x^2 - 9))# , x = 3sec(#theta# )

Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.)

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Substitute ( x = 3\sec(\theta) ) into the integral expression and convert ( dx ) in terms of ( d\theta ). Then, evaluate the integral using trigonometric identities and properties of integrals.

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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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