- #1

- 2

- 0

i have the following

∫(1/x)dx + ∫(u+1)/(u^2+1)du = 0

Im stuck on breaking the u down into a partial decomposition. Could anyone offer some advice on how to start decomposing this bad boy?

Thanks

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- Thread starter smallzilla
- Start date

- #1

- 2

- 0

i have the following

∫(1/x)dx + ∫(u+1)/(u^2+1)du = 0

Im stuck on breaking the u down into a partial decomposition. Could anyone offer some advice on how to start decomposing this bad boy?

Thanks

- #2

- 8

- 5

Split up the (u+1)/(u^2+1) as u/(u^2 + 1) + 1/(u^2+1).

Now you can do a substitution on the 1st term and the 2nd term is just arctan(u).

I'm not even sure that you could do a partial fraction decomposition on that because you can't factor the denominator.

- #3

- 2

- 0

I see, thanks for pointing that out! I'm do for an algebra review it seems :)

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