A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
o.k. intellectuals please sole for me
the integral sin x^3 . cos x^3dx
I know when both exp are odd ou can use either sub or convert method for smaller exp is easier I quess
anonymous
 5 years ago
o.k. intellectuals please sole for me the integral sin x^3 . cos x^3dx I know when both exp are odd ou can use either sub or convert method for smaller exp is easier I quess

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0this is a little crazy lol. hold on. thinking.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok well we can write it in this form. you can simplify the sin(x^3)cos(x^3) > 0.5sin(2x^3)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0that's right, as 2 sinx cosx = sin(2x)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0now i m thinking what's the best way to get the integral

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the answer is 1/6sin (x)^2 cos (x)^4  1/12 cos (x0^4

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I don't know hoa to derive at that answer with the same exponents

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0use substitution method from here. so you can do u = 2x^3 so du/dx = 6x^2 so you will get integrate (1/6x^2)sin(u) du and then from here we can write 6x^2 as some function of u itself. so like if u = 2x^3 and somethin along those lines

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Try Wolfram Alpha (wolframalpha.com)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/input/?i=integral%20sin%28x%29^3*cos%28x%29^3
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.