(adsbygoogle = window.adsbygoogle || []).push({}); i really need to know....

first->

integration of:

x/(x^4 + 2x^2 + 1)

i tried solving that using (ln), u=g(x), and alot of ways, but i couldn't get an answer

second->

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Is the following argument valid? Explain

f(x) =

1 if (x) is rational and (x)>0

-1 if (x) is rational and (x)<0

0 if (x) is irrational

is defined for all numbers in [-1,1] and has the property that f(-x)=-f(x) for all (x) in [-1,1].

Thus, definite integration{0 to 1 of f(x).dx}=0

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i couldn't understand the question, and what is meant by "irrational", i think all values (even integers) can be rational

thank u alot, i wish to reply as soon as possible, my exam is TOMORROW.... and any efforts will be appreciated

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