Find a power series representation of the function:
Here is my work:
Integrate.
Multiply by -1 then the series is:
Here is where I fall apart...Do I need to integrate again? No idea....
Thanks!!
first mistake. . that is closer to finding the derivative, and even that is wrong.
also,
note that
now, find the power series for and integrate term by term
you also took the integral of the power series incorrectly (if you can't do it in your head, use substitution)
this is wrong. where did that + sign come from??
huh?... , for any constant***IS THIS LEGIT FOR THIS INTEGRATION?
and the thing in blue is just wrong. where you got that from, i don't know. i think you again thought that you could integate a constant the same way you do a variable. this is wrong!
but your integral was wrong to begin with, because you put that plus sign in. and review your integration rules.
Ok, I officially don't understand this. The correct answer is:
So, how did the +/- sign after the log get there? I am really tired, I know that is just a constant, and I'm actually pretty good at my integrations, I'm just foggy brained and basically going through the motions at this point. Do you mind just helping me get through this problem so I can at least understand what I am doing? I really am understanding this better than yesterday, thanks to you Jhevon, but like I said yesterday, Molly & series are not seeing eye to eye.
Hey, you gotta love Webassign and multiple choice
BUSTED!!! LOL At this point, I guess I am doing that just because I can't figure out any other way to get this to sink in. I figure if I work enough of these, and have someone (ha ha...um...YOU) blast my every move, that eventually I'll get it?!?!? or NOT?!?!? LOLhow did you change the signs here? you seem to just be doing things to make your work look like the answer. naughty!
You are THE BEST!!!!!!! Again, I can not tell you how much I appreciate your help on all of this! Now I AM going to bed! You get some rest too, as tomorrow and next week I'll be harassing you with Taylor & MacLaurinanyway, here's the solution:
Now you can go to bed