# What is #int arctan(x-1)/arccosx dx#?

Unfortunately, the integral of the function does not have an algebraic solution.

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The integral of (arctan(x-1)) / (arccos(x)) dx cannot be expressed in terms of elementary functions. It belongs to a class of integrals known as nonelementary integrals, meaning it cannot be expressed using standard functions like polynomials, exponentials, trigonometric functions, and their inverses, and logarithmic 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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