# What is #int sqrt(x-3)cos^(3/2)(x-3) dx#?

This has no antiderivative using elementary functions.

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The integral of sqrt(x - 3) * cos^(3/2)(x - 3) dx is an indefinite integral that involves a product of a square root function and a cosine function raised to the power of 3/2. This integral does not have a simple closed-form solution using elementary functions. It typically requires advanced techniques like integration by parts, trigonometric substitutions, or specialized integration methods to solve.

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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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