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lambchamps
Group Title
int. calculus
\[\int\limits_{}^{}\sin ^{2}x \cos ^{2}x \tan ^{2} x dx\]
 one year ago
 one year ago
lambchamps Group Title
int. calculus \[\int\limits_{}^{}\sin ^{2}x \cos ^{2}x \tan ^{2} x dx\]
 one year ago
 one year ago

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Freak7820 Group TitleBest 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

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

hartnn Group TitleBest 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

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

lambchamps Group TitleBest ResponseYou've already chosen the best response.0
i did that before
 one year ago

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

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

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

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

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

SheldonEinstein Group TitleBest 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

lambchamps Group TitleBest ResponseYou've already chosen the best response.0
cos^4x + C ??
 one year ago

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

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

lambchamps Group TitleBest ResponseYou've already chosen the best response.0
then distribute?
 one year ago

hartnn Group TitleBest 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

hartnn Group TitleBest 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

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

hartnn Group TitleBest 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

hartnn Group TitleBest 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

lambchamps Group TitleBest 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

hartnn Group TitleBest 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

hartnn Group TitleBest 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
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