i'm trying to solve [math]\int x^3+x^4tanx dx[/math] and while i don't want to be spoonfed, i can't seem to utilize any identity to subtitute in u and maker it easier. i tried factoring out x^4 but i'd end up with 1/x and get lnx as my du. i'm going to guess that i need to do two substitions, one for x^4 then another for tanx using a v script. is this better?
>>8828260
Would splitting it up and then using a reduction formula for x^4*tan^n x work??
>>8828260
Use the linearity of the integral, then integrate by parts. But I don't think that second term is trivial at all, so you'd be better advised looking it up.
>>8828260
I don't know.
>>8828298
My stewart book shows this in 5.5 though which iz before parts
You can show tanx as something else. Tryusing that trick.
>>8828363
I'm not sure how then, since I looked it up and the indefinite integral of xtan(x) is something horrid involving a few polylogs.
>>8828260
>linearity
Split those bitches
>by parts
Reduce order of the stand alone x term
>rince & repeat
Why wouldn't that work?
>>8828415
It says its not needed. Just to use simple substitution.
>>8828431
Perhaps using the go-to integration technique will elucidate the substitution needed....
>>8828438
but i want to do it properly. if i just do it with parts it's going to make using ocams razor harder lator on, which could conflict with the interferon.