# How do you find #\int ( 4- 3\cos x ) ^ { \frac { 1} { 2} } d x#?

Use the trigonometric identity:

to have:

Substitute now:

so:

This is an elliptic integral of the second kind and as thus cannot be expressed in terms of elementary functions.

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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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