Mastering Integration by Parts: Tips and Tricks for Solving Difficult Problems

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The discussion centers on a challenging integration problem that a user is seeking help with. Participants suggest using the integration by parts formula, specifically the version that utilizes u and v instead of f(x) and g(x). One user recommends rewriting the integral as sec^(n-2)x*sec^2xdx to simplify the problem. The conversation emphasizes the importance of clarity in notation when applying integration techniques. Overall, the thread provides practical advice for tackling difficult integration problems using established methods.
Spectre32
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I'm stuck on this one problem. If anyone can aid me, I would greatly appericate it.


http://home.comcast.net/~personalcomp1/Impossible_calc_problem.JPG

I scaned in the problem sooo there's the place to view it.



Thanks
 
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you can write it as sec^(n-2)x*sec^2xdx and see where that takes you.
 
Roger that.. i'll do that and see where that takes me.
 
Here's the neater version (avoid the f(x) and g(x)'s when solving problems) of the integration by parts rule:

<br /> \int u dv = uv - \int v du<br />

Now follow Parth Dave's advice. I mentioned this as some old books still use f(x) and g(x) instead of the neater looking u and v. (Oh well, you might use f and g instead of u and v ;-))

Cheers
Vivek
 
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