
integrating
hello i was asked to from a list a multiple choice which answer when inegrated gives the result $\displaystyle x  lnx^2$
to get that answer i differentiated the function to get the answer which was $\displaystyle x2/x$
i am now trying to integrated that but cannot get back my answer.
can someone show me how this is done..
$\displaystyle let u =x2$ and d$\displaystyle v = x^1$
therefore $\displaystyle du/dx = 2$ and $\displaystyle v = lnx$
using the formula i have $\displaystyle (x2)(lnx) \int (x)^1 (2) $
can some one please show me where am going wrong. note m

$\displaystyle \frac{d}{dx}(x\ln(x^2))= 1\frac{2}{x}$
$\displaystyle \int 1\frac{2}{x}~dx = x2\ln(x) +C= x\ln(x^2)+C$