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Mathematics 16 Online
OpenStudy (anonymous):

How

OpenStudy (anonymous):

\[\int\limits \tan^3\theta*\sec^2\theta*d \theta\]

OpenStudy (anonymous):

Simple u sub?

hartnn (hartnn):

yup, did you try t= tan theta ?

hartnn (hartnn):

u= tan theta **

OpenStudy (anonymous):

u = tantheta, du = sec^2 theta, giving u^3 du = tan^4 theta/ 4, thought it was more complicated than that, and had to do tan^2theta*sec^2 theta* tan theta.

hartnn (hartnn):

its simple tan^4 theta/ 4+c is correct :)

OpenStudy (anonymous):

Alright cool, quick question, would you do a trig sub for x^2/(square root (1-x^2)) ?

hartnn (hartnn):

yes, trig. subs will simplify things :)

OpenStudy (anonymous):

Awesome, thanks Goku.

hartnn (hartnn):

welcome ^_^

hartnn (hartnn):

you seem to be new here, \(\Huge \mathcal{\text{Welcome To OpenStudy}\ddot\smile} \) also did you just start learning integration ?

OpenStudy (anonymous):

New to the techniques, I always over complicate things though.

hartnn (hartnn):

i think this might be helpful, sooner or later, can have a look if you want :) http://openstudy.com/users/hartnn#/updates/50960518e4b0d0275a3ccfba

OpenStudy (anonymous):

Wow, thanks, is it alright if I copy and paste it on a notepad or something?

hartnn (hartnn):

sure :)

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