anonymous
  • anonymous
Find the indefinite integral of: [1 + 4cotx]/[4 - cotx] dx I would like a hint please I asked the last time and someone said to use the u substitution of of tan(x/2). However, I do not know how they got tan in the first place. All I see is cot
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.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
TuringTest
  • TuringTest
I feel like I wanna start with\[\int{1+4\cot x\over4-\cot x}dx=\int{\sin x+4\cos x\over4\sin x-\cos x}dx\]but it's just a hunch...
anonymous
  • anonymous
That is exactly what I did too
TuringTest
  • TuringTest
oh wait, that should do it :)

Looking for something else?

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

More answers

anonymous
  • anonymous
And then I did not know where to proceed from there
TuringTest
  • TuringTest
\[u=4\sin x-\cos x\]\[du=4\cos x+\sin xdx\]
anonymous
  • anonymous
WOW
anonymous
  • anonymous
I had no idea
anonymous
  • anonymous
Is there not another way to do this?
TuringTest
  • TuringTest
just gotta try it sometimes ;) um... I don't know this is the first one that comes to mind, and it's pretty easy
anonymous
  • anonymous
Ok thank you for your time
TuringTest
  • TuringTest
I bet there is a wolfram-type way to do it that starts with u=tan(x/2) (which is where I suspect the earlier advice you got came from) but that would get very ugly I bet...
anonymous
  • anonymous
Yea
TuringTest
  • TuringTest
yeah if you want to make your life impossible do it this way http://www.wolframalpha.com/input/?i=integral(1%2B4cotx)%2F(4-cotx)dx&t=crmtb01 (click show steps, and notice how the person who previously advised you on that sub u=tan(x/2) probably couldn't do the integral themselves, and tried to look smart by quoting the wolf, lol)
anonymous
  • anonymous
L.O.L

Looking for something else?

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