anonymous
  • anonymous
antidifferentiate 3x-1/x+1 please help
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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dumbcow
  • dumbcow
sub u = x+1 du = dx
dumbcow
  • dumbcow
\[\int\limits \frac{3(u-1) -1}{u} du = \int\limits \frac{3u-4}{u} du = \int\limits 3 du - 4\int\limits \frac{1}{u} du\]
Hero
  • Hero
Why not simplify first?

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anonymous
  • anonymous
Thanks that really helps.
Hero
  • Hero
\[\frac{3x - 1}{x+1} = \frac{3x + 3 - 4}{x+1} = \frac{3x + 3}{x + 1} - \frac{4}{x + 1} = 3 - \frac{4}{x + 1}\]
Hero
  • Hero
Now anti-differentiate \[\int\left(3 - \frac{4}{x + 1}\right)dx\]
Hero
  • Hero
You can do that to avoid u-sub
anonymous
  • anonymous
I actually like this way better. Its easier to work out this way.
Hero
  • Hero
Which way?
Hero
  • Hero
I made it look more complicated than it really is
Hero
  • Hero
I was just showing all the steps

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