anonymous
  • anonymous
What is my inner-function g if I integrate x/(2-x)^3 with the method of substitution?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
EscherichiaRinku
  • EscherichiaRinku
If you think of powers as a function, then you will easily see that (2-x) is a function inside the power function. So, your g is g(x) = 2-x.
anonymous
  • anonymous
that was simpler than it looked :S
anonymous
  • anonymous
Escher, if you actually did that by integration, what would it look like?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
then of course you have to write \[u=2-x, du = -dx\] \[x=2-u\] and integrate \[-\int \frac{2-u}{u^3}du\]
anonymous
  • anonymous
or if you prefer \[\int \frac{u-2}{u^3}du\]
EscherichiaRinku
  • EscherichiaRinku
And then substitute (2-x) back to get a result with the original terms :)
EscherichiaRinku
  • EscherichiaRinku
^I mean, substitute (2-x) back after integration :D
anonymous
  • anonymous
Oh, I did not know that I´m also able to replace the x upstairs (which annoyed) with 2-u. Thank you very much.

Looking for something else?

Not the answer you are looking for? Search for more explanations.