How to integrate x³ * radical(2x+1)?
it looks like this: wolfram site
the problem says to do it using tabular integration by parts, which is what I did, but I ended up with this:
x^3/3*(2x+1)^(3/2) - 3x^2/15*(2x+1)^(5/2)+6x/105*(2x+1)^(7/2)+6/945*(2x+1)^(9/2)
I know that's really hard to see.. so here's the image: wolfram (the first box, where it says input)
it's so different from the actual answer in my calculator and wolfram! does anybody know how to integrate it properly?
huh. um.. well actually I did the first part of it after your first post, but it looked like what I had initially tried and got, so I stopped.
the directions in the book actually told me to find the integral using tabular integration by parts, which is something like this:
and so I tried something similar, listing under the column "u"
and under the column "dV"
then I just connected all of them and got the result that I got. I'm not sure where I went wrong..