A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
integratation of power of sines and cosines:
∫ sin^4 xcos^2xdx
anonymous
 3 years ago
integratation of power of sines and cosines: ∫ sin^4 xcos^2xdx

This Question is Open

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\frac{ \cos ^{5}x }{ 5 }+\frac{ \cos ^{7}x }{ 7 }+c\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0how come? what case did you used? is it case 2?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0bak reyiz, cos^2 x=1sin^2 x. biliyon mu bunu??

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0what? im sorry i cant understant your language, could you speak in english please?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0can someone please help me? :(

Callisto
 3 years ago
Best ResponseYou've already chosen the best response.2I think it's not like what marsss did there... \[∫ sin^4 xcos^2xdx\]\[=∫ sin^4 x(1sin^2x)dx\]\[=∫ sin^4xsin^6xdx\]\[=∫ (sin^2x)^2dx∫(sin^2x)^3dx\]\[=\frac{1}{4}∫ (1cos2x)^2dx\frac{1}{8}∫(1cos2x)^3dx\]\[=\frac{1}{4}∫ (12cos2x+cos^22x)dx\frac{1}{8}∫(13cos2x+3cos^22xcos^32x)dx\] Reduce the power of cosine into 1 using doucle angle formula, except for cos^3(2x). Good luck :
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.