Evaluate: _0^1(x+1)^2 d x - Vidyadip

Question

Evaluate: $\int_0^1(x+1)^2 d x$

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Answer

$\int_0^1(x+1)^2 d x=\left[\frac{(x+1)^3}{3}\right]_0^1$
$=\frac{1}{3}\left[(1+1)^3-(0+1)^3\right]$
$=\frac{1}{3}(8-1)$
$=\frac{7}{3}$

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