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jaersyn
 3 years ago
integrate (secx)^4 * sqrt (tanx) dx
jaersyn
 3 years ago
integrate (secx)^4 * sqrt (tanx) dx

This Question is Closed

Outkast3r09
 3 years ago
Best ResponseYou've already chosen the best response.3I think you have to use Trig sub

Outkast3r09
 3 years ago
Best ResponseYou've already chosen the best response.3or you might be able to do this

Outkast3r09
 3 years ago
Best ResponseYou've already chosen the best response.3this is just a test idk if it will work \[\int sec^2 x* sec^2 x*\sqrt{tanx} dx\]

Outkast3r09
 3 years ago
Best ResponseYou've already chosen the best response.3\[cos^2 x + sin^2 x= 1\] \[1+tan^2 x=sec^2 x\]

jaersyn
 3 years ago
Best ResponseYou've already chosen the best response.1you're correct, i'm close, but not exactly the ansewr

Outkast3r09
 3 years ago
Best ResponseYou've already chosen the best response.3\[\int sec^2 x * (tan^2 x + 1) * \sqrt{tan x}dx\]

jaersyn
 3 years ago
Best ResponseYou've already chosen the best response.1yeah then let u = tanx; du = (secx)^2

Outkast3r09
 3 years ago
Best ResponseYou've already chosen the best response.3you could use trig subs

Outkast3r09
 3 years ago
Best ResponseYou've already chosen the best response.3trig sub will work with any trig integral... it's just a pain for something that can be done easier anyways \[\int sec^2 x *(tan^{3/2} x+ \sqrt{tan^{1/2}x})\]

Outkast3r09
 3 years ago
Best ResponseYou've already chosen the best response.3\[\int sec^2 x*tan^{3/2}x dx + \int sec^2 x*tan^{1/2}xdx\]

Outkast3r09
 3 years ago
Best ResponseYou've already chosen the best response.3\[\int sec^2 x* (tanx)^{3/2} dx + \int sec^2 x*(tanx)^{1/2}\]

Outkast3r09
 3 years ago
Best ResponseYou've already chosen the best response.3let \[u=tanx\] \[du=sec^2 x\] \[\int u^{3/2}du+\int u^{1/2}du\]

jaersyn
 3 years ago
Best ResponseYou've already chosen the best response.1i see where i went wrong

jaersyn
 3 years ago
Best ResponseYou've already chosen the best response.1∫sec2x∗(tan3/2x+tan1/2x−−−−−−√)

jaersyn
 3 years ago
Best ResponseYou've already chosen the best response.1how does tan^2 (x) * tan^(1/2) x = tan^(3/2) (x)?

Outkast3r09
 3 years ago
Best ResponseYou've already chosen the best response.3ehh it's supposed to be a 5/2

Outkast3r09
 3 years ago
Best ResponseYou've already chosen the best response.3so your answer wil lbe 7/2
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