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anonymous
 3 years ago
integrate sec^3 dx
anonymous
 3 years ago
integrate sec^3 dx

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hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1split it as sec x *sec^2 x

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1wait, i'll give you general steps http://openstudy.com/users/hartnn#/updates/50960518e4b0d0275a3ccfba see the tips part, there i have given steps to integrate any power of sec x

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1ok, write sec x as sqrt(1+tan^2 x) put t= tan x dt = sec^2 x dx so your integral becomes sqrt(1+t^2) dt then u have standard formula for this.

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1in the end don't forget to replace , t by tan x welcome ^_^

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.0i was considering leaving it in trigs

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.0sec^2 = tan^2 + 1 sec * sec^2 = sec tan^2 + sec but yeah, that doesnt quite make a nice transition does it :)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i cant make it. does the sqrt root 1 + t^2 is the final answer or need to be integrate first

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.0the sqrt is a means to rewrite the integral into a more doable format. It still needs to be integrated tho
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