A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
∫√3+2xdx
anonymous
 5 years ago
∫√3+2xdx

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Is 3+2x all under the square root or is it just root 3?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok. We will use usubstitution. Set u equal to what's under the square root (3+2x) and then take the derivative of 3+2x to find du. So du = 2 dx

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So you are left with \[\int\limits \sqrt{u}/2 du\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The reason we divide by 2 is when you get du = 2 dx you want dx by itself, so you get du/2 = dx

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Since your dividing by 2, you can pull a 1/2 out in front of the integral, leaving you with the integral of root u, which can be rewritten as u^(1/2). Then to integrate we add 1 to the exponent (giving us u^(3/2)). We have to multiply by the reciprocal of our new exponent.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So your final answer should be [2u^(3/2)]/3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Since 2/3 times u^(3/2) just moves the u^(2/3) on top and multiplies it by 2.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh well I meant about this problem. I'll look at it and see if I can help in the other problem.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0tthanks God bless you
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.