- hello again
im working my way thourgh the awesome calculus tutorial but now im stuck at one point:
$\displaystyle \int x^2 e^x
$
- hello again
im working my way thourgh the awesome calculus tutorial but now im stuck at one point:
$\displaystyle \int x^2 e^x
$
$\displaystyle \int x^2 e^x$
$\displaystyle \\u = x^2\\$
$\displaystyle \\v'=e^x\\$
$\displaystyle \\u'=2x\\$
$\displaystyle \\v =e^x\\$
$\displaystyle \\x^2e^x-\int 2xe^xdx = x^2 e^x -2\int x e^x$
everything clear so far. but now it seems the author is missing an $\displaystyle e^x$
the given solution: $\displaystyle x^2-2xe^x+2e^x+C$
is it just a typo or am i missing something ?