What is the integral of #(cos(x^(1/2)))#?
thus, we now have
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The integral of ( \cos(x^{1/2}) ) with respect to ( x ) is an elementary integral and can be expressed in terms of Fresnel integrals. The indefinite integral is given by:
[ \int \cos(x^{1/2}) , dx = 2 \sqrt{x} , \text{FresnelC}\left(\sqrt{\frac{2}{\pi}} \sqrt{x}\right) + C ]
where ( \text{FresnelC}(x) ) denotes the Fresnel cosine integral function and ( C ) is the constant of integration.
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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.
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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