Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
int. calculus
\[\int\limits_{}^{}\sin ^{2}x \cos ^{2}x \tan ^{2} x dx\]
 one year ago
 one year ago
int. calculus \[\int\limits_{}^{}\sin ^{2}x \cos ^{2}x \tan ^{2} x dx\]
 one year ago
 one year ago

This Question is Closed

Freak7820Best ResponseYou've already chosen the best response.0
Write them as sin squared x = (1/2)(1  cos 2x) cos squared x = (1/2)(1 + cos 2x) maybe..that'll be easier for you to integrate.
 one year ago

lambchampsBest ResponseYou've already chosen the best response.0
can i do that, even if sin or cos is not raised two?
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
doesn't that simplify to sin^4 x when tan is written as sin/cos ?
 one year ago

SheldonEinsteinBest ResponseYou've already chosen the best response.3
Write tan^2 x = sin^2 x / cos^2 x
 one year ago

SheldonEinsteinBest ResponseYou've already chosen the best response.3
\[\large{\int { sin^4x dx}}\] Can you do this?
 one year ago

lambchampsBest ResponseYou've already chosen the best response.0
then i lost any of ideas after that
 one year ago

SheldonEinsteinBest ResponseYou've already chosen the best response.3
OK no problem, where are you lost?
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
can u integrate sin^2 x ?
 one year ago

lambchampsBest ResponseYou've already chosen the best response.0
after i got the \[\int\limits_{?}^{?}\sin ^{4}xdx\]
 one year ago

SheldonEinsteinBest ResponseYou've already chosen the best response.3
Well if integration of sin x dx= cosx + C then that of sin^4 x dx = ?
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
write sin^4 x = (sin^2 x)(1cos^2 x)
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
no, its not that direct
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
= (sin^2 x)(1cos^2 x) = sin^2 x  sin^2x cos^2 x yes
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
= sin^2 x  sin^2x cos^2 x = sin^2 x  (1/4) (sin 2x)^2
 one year ago

lambchampsBest ResponseYou've already chosen the best response.0
how did you get (1/4)(sin 2x)^2?
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
sin 2x = 2 sin x cos x to get sin^2x cos^2 x , i squared the above .....
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
got that ? ^ and can u integrate sin^2 x  (1/4) (sin 2x)^2
 one year ago

lambchampsBest ResponseYou've already chosen the best response.0
can you show me the whole process of that sin 2x = 2 sin x cos x
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
u want me to prove 2sin x cos x = sin 2x or u wanted this : sin 2x = 2 sin x cos x (sin 2x)^2 = (2 sin x cos x)^2 = 4 sin^2x cos^2 x so sin^2 x cos^2 x = (1/4) (sin 2x)^2
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
so if u can integrate sin^2 x you can also integrate sin^2 x  (1/4) (sin 2x)^2
 one year ago
See more questions >>>
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.