The following command in Version 9.0.1:

N[Integrate[x^50*Sin[x], {x, 0, 1}]]

gives $1.4615*10^{48}$ which is way off from the correct solution which is between $0$ and $0.5$.

Interestingly the indefinite integral comes out correct and if you increase the precision Mathematica gives an error and the following number: $0.0163$. The same result is given by NIntegrate.

Is this bug known?