A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Evaluate the indefinite integral:
(x^4)sqrt(12 + x^5)dx
anonymous
 5 years ago
Evaluate the indefinite integral: (x^4)sqrt(12 + x^5)dx

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0pleaaaaase i neeed the answer !!!!! thanks!!!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0integrate x^4 sqrt(12+x^5) dx For the integrand x^4 sqrt(x^5+12), substitute u = x^5+12 and du = 5 x^4 dx: = 1/5 integral sqrt(u) du The integral of sqrt(u) is (2 u^(3/2))/3: = (2 u^(3/2))/15+constant Substitute back for u = x^5+12: = 2/15 (x^5+12)^(3/2)+constant

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0that's correct, did you understand it Nat? ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[ \int\limits_{}^{}x^4\sqrt{x^5 + 12}dx\] take the following: \[u = x^5 + 12\] \[du = 5x^4dx\] now you'll have the following form : \[=1/5\int\limits_{}^{}\sqrt{u}du\] \[=1/5[2u^{3/2}/3] + c\] \[=[ 2(x^5+12)^{3/2}/15] + c\] just like what elouis has done :) I hope it's clearer now ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thank you so much! that helped a lot!
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.