(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If f(x) = integration from 0 to x of ( 1 / sqrt [ (t^3) + 2] ) dt , which of the following is FALSE?

[tex]

int({1}/{sqrt(t^3 + 2)},x=a..b)

[/tex]

a.) f(0) = 0

b) f is continous at x for all x >= 0

c) f(1) > 0

d) f'(1) = 1 / sqrt [3]

e) f(-1) > 0.

I know how to do a,b, and d. But how can I test for c and d if I don't know how to integrate such a weird function? I tried thinking of an arctan integration.... but it looks "weird".

Thanks

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# Integration Problem with a Variable for an Upper Limit

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