integrate sec^3 dx

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integrate sec^3 dx

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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split it as sec x *sec^2 x
then
wait, 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

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ok, 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.
ooo...thanx a lot
in the end don't forget to replace , t by tan x welcome ^_^
i was considering leaving it in trigs
sec^2 = tan^2 + 1 sec * sec^2 = sec tan^2 + sec but yeah, that doesnt quite make a nice transition does it :)
i cant make it. does the sqrt root 1 + t^2 is the final answer or need to be integrate first
the sqrt is a means to rewrite the integral into a more doable format. It still needs to be integrated tho
ok...got it

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