# What is the integral of #sqrt(sinx)cosx dx#?

The integral equals

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The integral of √(sin(x))cos(x) dx can be solved using trigonometric substitution. By letting u = sin(x), the integral transforms into ∫ √(u) du. This integral can then be evaluated using standard integral rules. After finding the antiderivative, the substitution is reversed to find the final result in terms of x.

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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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