Question

Improper Integrals

Answer 1

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

Answer 2

Is the same as \[\large \int\limits_{0}^{2}\frac{ 1 }{ u }du-\int\limits_{0}^{2}\frac{ 1 }{ u^5 }du\]

Answer 3

can you do that?

Answer 4

Yes

Answer 5

[ln(|u|)+C] - [-1/4u^4 + C] right?

Answer 6

correct

Answer 7

sorry for the late reply, i went away

Answer 8

So, when you have that solution, just substitute u with 2 first, and after you have done that, substitute u with 0. Then subtract the latter from the first.

Answer 9

\[[\ln|2| - \frac{ -1 }{ 4(2)^4 }] - [ \ln|0| - \frac{ -1 }{ 4(0)^4 }]\]

My question is how to you go about the second part, since it's an improper integral, you can't solve the second part

Answer 10

ye the ln of 0 doesn't make sense, but that is the answer though, as far as i know