anonymous
  • anonymous
\[Substitute~~~~~\int\limits {1 \over (3x+4)^2} dx ---->3x+4=u\]
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Mimi_x3
  • Mimi_x3
Where are you having problems? u = 3x +4 => du/3 It's pretty easy..
anonymous
  • anonymous
Can you show the steps of how to integrate it?\[\int\limits {1 \over u^2}dx\] becomes....
Mimi_x3
  • Mimi_x3
Write it as \[\int\limits u^{-2} dx\]

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Mimi_x3
  • Mimi_x3
are you able to integrate it?
anonymous
  • anonymous
Yes\[-->{ 1 \over u}\]
anonymous
  • anonymous
But why is the answer 1/-3(3+4) and not 1/3x+4?
anonymous
  • anonymous
sorry, it's -1/u
anonymous
  • anonymous
Why?
Mimi_x3
  • Mimi_x3
\[\int\limits\frac{1}{(u)^{2}} *\frac{du}{3} => \frac{1}{3} \int\limits\frac{1}{u^{2}} \]
Mimi_x3
  • Mimi_x3
You move the 1/3 outside..
Mimi_x3
  • Mimi_x3
then integrate it..
anonymous
  • anonymous
\[\int\limits \sin({1\over3}\pi-{1\over2}x)dx~~~~~~~Why~would~2~go~on~the~outside~instead~of~1/2?\]
Mimi_x3
  • Mimi_x3
Sorry, I don't know, lol. i forgot this... Someone else should help, lol
anonymous
  • anonymous
Thanks for trying to help anyway! ;D

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