Calculus, 11 9 #27, Power Series Representation

Differential equation, factoring, linear equation, quadratic equation, derivatives, integrals, stewart calculus 7th edition, algebra.

[nranify]

THANK YOU SO MUCH you are the only one who actually shows the hard problems...

[Racerdew]

I believe there is an error.
This series is = f(x) = x^2*(ln(1+x)) not the integral of the function.
In the previous problem we compared our series to the derivative of ln(1+x) and then integrated that. We should have done that again here, and multiplied x^2 into the result.
This series represents the function x^2(ln(1+x) not the integral of it.
Cheers!

[shadyhamrouny]

why do we plug in n-1 at the start, what will it change?

[cylin]

Hi there,
the video is very well explained, but does it matter if I use n=1 or n=0 for the index?