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carlodelmundo
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Homework Statement
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 continuous 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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