Question

How do I use partial fractions to solve for tan(x/2)/((x+2)(x+3))?

Answer 1

Is it possible? I thought partial expansion is only for polynomials

Answer 2

I want to integrate this function with respect to dx

Answer 3

you can not do partial fractions. you COULD use convolutions though, although i don't know what class you're currently in

Answer 4

I'm actually attempting complex values..

Answer 5

where x is actually z but I don't know if you guys could help me.. Yeah I know convolution but that's not the class I learnt it in

Answer 6

what class is this?

Answer 7

i think you might have done something wrong earlier if you have to take that integral... it would get pretty nasty to do so

Answer 8

Oh I see what I did wrong.. okay it's actually integral of tan(z/2) / (z^4-16) dz

Answer 9

it's complex math analysis, do you have any ideal on how to integrate that?

Answer 10

no, and wolfram alpha does not know how to either

Answer 11

it says use partial fractions! that's why I'm so confused

Answer 12

oh okay thanks for your help anyways

Answer 13

you must be doing something wrong earlier, because you cannot use partial fraction decomposition

Answer 14

not that i know how to at least

Answer 15

no we were given tan ..

Answer 16

it's alright I'm sure theres a way to reduce it I just haven't seen it yet

Answer 17

Thanks for your help though

Answer 18

Still need help?

Answer 19

You could write
\[\frac{\tan\frac{x}{2}}{(x+2)(x+3)}=\tan\frac{x}{2}\left(\frac{A}{x+2}+\frac{B}{x+3}\right)\]
I'm not sure if that would get you anywhere, though.

Answer 20

I get it now thanks for all your help.

Answer 21

Yes that's how you go about it sithsandgiggles,