A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Indefinite Integral Help
int (x/(2x+1) dx
I keep getting (x/2)((1/4)ln2x+1)+1/4+C
Book says ((1/2)x)((1/4)ln2x+1)+C.
So when I get a constant as part of the answer when trying to find the indefinite integral, do I just consider it as part of the constant C? Is that why I'm off by +1/4?
anonymous
 5 years ago
Indefinite Integral Help int (x/(2x+1) dx I keep getting (x/2)((1/4)ln2x+1)+1/4+C Book says ((1/2)x)((1/4)ln2x+1)+C. So when I get a constant as part of the answer when trying to find the indefinite integral, do I just consider it as part of the constant C? Is that why I'm off by +1/4?

This Question is Closed

TuringTest
 5 years ago
Best ResponseYou've already chosen the best response.1yes, 1/4 is absorbed into C, because C is unknown that will happen a lot in differential equations, so get used to it

Akshay_Budhkar
 5 years ago
Best ResponseYou've already chosen the best response.5yes whenever you have another constant, you ought to add it into C. The C absorbs it.. If you are having marks for steps then this step will count for marks as well ( maybe 1/2 mark or so if u r scoring full elsewhere)

TuringTest
 5 years ago
Best ResponseYou've already chosen the best response.1wolfram keeps the 1 though ironically http://www.wolframalpha.com/input/?i=int%20(x%2F(2x%2B1)%20dx&t=crmtb01 but they left it in the parentheses, so I guess they feel it's justified

Akshay_Budhkar
 5 years ago
Best ResponseYou've already chosen the best response.5but in the alternate forms it does absorb the constant :D

Akshay_Budhkar
 5 years ago
Best ResponseYou've already chosen the best response.5turing i need u 1 min

Akshay_Budhkar
 5 years ago
Best ResponseYou've already chosen the best response.5i will give u the link

Akshay_Budhkar
 5 years ago
Best ResponseYou've already chosen the best response.5http://openstudy.com/study#/updates/4f14d598e4b0b9109c920bca

TuringTest
 5 years ago
Best ResponseYou've already chosen the best response.1I don't even see why they add the 1 for 'restricted values of x' in wolf what does that mean, do you know akshay?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0what are you guys doing?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0comparing your answers with wolfram?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0sprusty 1/4+constant is still a constant so your answer and the book answer are fine! :)

TuringTest
 5 years ago
Best ResponseYou've already chosen the best response.1yes, but why does wolf add the 1 for 'restricted values' I want to know

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{}\frac{x}{2x+1} dx\] u=2x+1 => du=2 dx u=2x+1 => (u1)/2=x \[\int\limits_{}^{}x \cdot \frac{1}{2x+1} dx=\int\limits_{}^{}\frac{u1}{2} \cdot \frac{1}{u} \frac{du}{2}\] \[\frac{1}{4}\int\limits_{}^{}\frac{u1}{u} du=\frac{1}{4}\int\limits_{}^{}(1\frac{1}{u}) du=\frac{1}{4}(u\lnu)+C\]

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0\[=\frac{1}{4}(2x+1\ln2x+1)+C\]

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0\[=\frac{x}{2}+\frac{1}{4}\frac{1}{4} \ln2x+1 +C\]

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0\[=\frac{x}{2}\frac{1}{4}\ln2x+1+c \]

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0i will look at wolfram's solution one sec

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0No I don't know what they are talking about honestly lol

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0either one of those things they have listed is fine though

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0imperialist seems smart I will ask him what he think wolfram means
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.