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help! integration MX2 (1 Viewer)

Carrotsticks

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I don't think you can through elementary methods. The definite integrals of this integrand can only be approximated.
Unless the limits are plus/minus infinity, where there is often a closed form for the definite integral.

ie:
 

Drongoski

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Unless the limits are plus/minus infinity, where there is often a closed form for the definite integral.

ie:
That's related to the well-known probability density function for the normal distribution (mean 0 and variance 1) iirc:

 
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Carrotsticks

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Regarding the term-by-term integration of the infinite series... I don't think you can just do that unjustified (although it works).

You might have to show that the series is uniform convergent before doing so. Of course not required in the HSC though.
 

CcYann

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Regarding the term-by-term integration of the infinite series... I don't think you can just do that unjustified (although it works).

You might have to show that the series is uniform convergent before doing so. Of course not required in the HSC though.
so this type of question will appear in the hsc exam?
 

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