# How do you find #int -sinx^2/arctanx dx#?

This integral cannot be evaluated using standard mathematical notation.

When a function is incapable of being integrated, numerical integration must be used to obtain an approximation of the definite integral of the function.

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To find ∫-sin(x^2)/arctan(x) dx, there isn't a standard elementary antiderivative for the integrand. Thus, it typically cannot be expressed in terms of elementary functions. You may consider numerical methods or special techniques such as series expansions or integration by parts, but exact solutions might be elusive.

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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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