Solving Indefinite Integrals: ∫1/(t*ln(t)) & ∫1/(√(t)*[1-2*√(t)])

[Justabeginner]

Homework Statement

$∫1/(t*ln(t)) dt$

$∫1/(√(t)*[1-2*√(t)]) dt$

Homework Equations

The Attempt at a Solution

I used u-substitution for both. For the first equation, my u= ln t, and my final answer was ln|u| + C, or ln(ln(|t|) + C. For the second equation, my u= 1-2*√(t) and my final answer was -ln(u) or -ln(1-2*√(t)) + C.

But both of these are wrong, so I'm not sure what I did wrong. Can I get some guidance on this? Thank you. :)

 

[Dick]

Homework Statement

$∫1/(t*ln(t)) dt$

$∫1/(√(t)*[1-2*√(t)]) dt$

Homework Equations

The Attempt at a Solution

I used u-substitution for both. For the first equation, my u= ln t, and my final answer was ln|u| + C, or ln(ln(|t|) + C. For the second equation, my u= 1-2*√(t) and my final answer was -ln(u) or -ln(1-2*√(t)) + C.

But both of these are wrong, so I'm not sure what I did wrong. Can I get some guidance on this? Thank you. :)

Both of those are correct as far as integration goes. Must be an error in the answering system.

 

[Justabeginner]

Oh wow, that makes me feel better now. Thank you! :)

 

[NascentOxygen]

Check. http://m.wolframalpha.com/input/?i=integrate+1%2F%28sqrt%28t%29+%281+-+2sqrt%28t%29%29%29&x=0&y=0&js=off

 

[Justabeginner]

Thank you! That site helps.