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- Dec 19th 2006, 12:08 PMstupid_kidplease help me... exam is coming...i can't figure out these problems...
- Dec 19th 2006, 12:50 PMPlato
All one has to do is note that:

$\displaystyle 0 \le x \le 1\quad \Rightarrow \quad 0 \le x^n \le 1\quad \& \quad 1 \le \sqrt {1 + x} \le \sqrt 2. $

Apply integral inequalities.