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?