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lambchamps
 3 years ago
int. calculus
\[\int\limits_{}^{}\sin ^{2}x \cos ^{2}x \tan ^{2} x dx\]
lambchamps
 3 years ago
int. calculus \[\int\limits_{}^{}\sin ^{2}x \cos ^{2}x \tan ^{2} x dx\]

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Freak7820
 3 years ago
Best ResponseYou've already chosen the best response.0Write 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.

lambchamps
 3 years ago
Best ResponseYou've already chosen the best response.0can i do that, even if sin or cos is not raised two?

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

SheldonEinstein
 3 years ago
Best ResponseYou've already chosen the best response.3Write tan^2 x = sin^2 x / cos^2 x

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

lambchamps
 3 years ago
Best ResponseYou've already chosen the best response.0then i lost any of ideas after that

SheldonEinstein
 3 years ago
Best ResponseYou've already chosen the best response.3OK no problem, where are you lost?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2can u integrate sin^2 x ?

lambchamps
 3 years ago
Best ResponseYou've already chosen the best response.0after i got the \[\int\limits_{?}^{?}\sin ^{4}xdx\]

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

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2write sin^4 x = (sin^2 x)(1cos^2 x)

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2= (sin^2 x)(1cos^2 x) = sin^2 x  sin^2x cos^2 x yes

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2= sin^2 x  sin^2x cos^2 x = sin^2 x  (1/4) (sin 2x)^2

lambchamps
 3 years ago
Best ResponseYou've already chosen the best response.0how did you get (1/4)(sin 2x)^2?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2sin 2x = 2 sin x cos x to get sin^2x cos^2 x , i squared the above .....

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2got that ? ^ and can u integrate sin^2 x  (1/4) (sin 2x)^2

lambchamps
 3 years ago
Best ResponseYou've already chosen the best response.0can you show me the whole process of that sin 2x = 2 sin x cos x

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2u 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

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2so if u can integrate sin^2 x you can also integrate sin^2 x  (1/4) (sin 2x)^2
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