# What is the integral of #int sin(ln(ln(x))) #?

It cannot be expressed using standard mathematical functions.

That is the assessment of Wolfram Alpha (whose "standard" functions include polylogarithmic functions and others.)

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The integral of ( \int \sin(\ln(\ln(x))) ) with respect to ( x ) cannot be expressed in terms of elementary functions. It is an example of a non-elementary integral.

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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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