Back for a couple more I'm having a little trouble with. The first is
sech(1/x)tanh(1/x) all over x^2
Here I'm not sure how to deal with integrating hyperbolics at all as we haven't gotten to it in class yet. I did some searching on the internet and found that the integral tanh(x)sech(x) =...
I'm supposed to integrate w/w^4 + 1
The two ideas I'd come up with was trying to substitute w^4+1 with u but that results in a 0 in the numerator.
Then I thought maybe I have to put w/w^4+1 into the 1/1+w^2 form and integrate into 1/k tan^-1kx + C but I'm not sure how to keep the original...