A community for students.
Here's the question you clicked on:
 0 viewing
bretm
 2 years ago
need help with a integral (sin^2(t)cos^4(t)),
I can split it up into:
((1cos(2t))/2)((1+cos(2t))/2)^2,
but the solution then takes out the constants and make it so its 1/8 infront of the integral, how do you get 1/8? I can get 1/4 but not 1/8
bretm
 2 years ago
need help with a integral (sin^2(t)cos^4(t)), I can split it up into: ((1cos(2t))/2)((1+cos(2t))/2)^2, but the solution then takes out the constants and make it so its 1/8 infront of the integral, how do you get 1/8? I can get 1/4 but not 1/8

This Question is Closed

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.0The way I would do it is to apply\[\sin^2t=1\cos^2t\]them use the double angle formula\[\cos^2t=\frac12(1+\cos(2t))\]

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2you wanted to know how we get 1/8 ? [(1...)/2 ] [(1+...)/2]^2 = [1/2.....] [1/4+ ...] = [1/8 +....]

bretm
 2 years ago
Best ResponseYou've already chosen the best response.0ah, i see what your saying now

bretm
 2 years ago
Best ResponseYou've already chosen the best response.0it was taking the second part and squaring it and expanding it that was confusing but when I expanded it i forgot about what happened to my 2 on the bottom yes, thank 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.