Anyone know how to solve improper integrals ?

Question

anonymous · Answer

$$\int\limits_{0}^{2}\frac{ 1 }{ u }-\frac{ 1 }{ u^5 }$$

ipwnbunnies · Answer

Didn't you get help on this like three times?

anonymous · Answer

yes, but since the answer is something like minus infinity or something he doesn't believe us

ipwnbunnies · Answer

Integral doesn't converge then.

anonymous · Answer

anonymous · Answer

Not on the part that I needed help on, nobody helped me solve the improper part

ipwnbunnies · Answer

The integral converges! It goes to negative infinity, or infinity, w/e!

anonymous · Answer

$$\ln|0| - \frac{ -1 }{ 4(0)^4 }$$
That's the puzzling part for me

anonymous · Answer

I need to know how to deal with that, so I can do the other ones later.

anonymous · Answer

@iPwnBunnies can you explain how to go about simplifying that?

ipwnbunnies · Answer

I'm shaky on this subject. But I believe you have to find the limit as x approaches 0 for the latter half of the definite integral.

ipwnbunnies · Answer

But it should be infinity or so, so the integral converges.

anonymous · Answer

ln 0 can't be solved, that's why the integral does not converge, the end result is negative infinity, there's nothing more to it.

ipwnbunnies · Answer

Omg I screwed up my vocab bad here. Right, the integrals DIVERGES.