How do you approach this one?
equation coming ...

Question

anonymous · Answer

Come up with a reasonably accurate estimate of 
$$\int\limits_{1}^{\infty} \frac {e^{-x}}{ \sqrt{1+ x^{4}}} dx$$

anonymous · Answer

Can you just say that 1/E^x will dominate?

ganeshie8 · Answer

An estimation w/o knowing the amount of error is useless

dan815 · Answer

you could expand e^-x to a few terms in taylor series

dan815 · Answer

and state what the error is wrt to how many terms u expand upto

anonymous · Answer

Im not sure what you mean Dan..sorry..
If 1/E^x is dominant then the function is heading to 0
is there some way of just using the fundamental formula here?
If I plot this function it seems to zero out by the time it hits 15, what if I integrate and 
then just do something like
If 
f'[x] =  Power[E, -x]/Sqrt[1 + x^4]
Then the integration of f'[x] is 
f[15] - f[1]

anonymous · Answer

and I get 1.903373417798832 * 10^-8

dan815 · Answer

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