Let \( f(x)=\min [x+1, \sqrt{(1-x)}] \). Then area bounded by \( f(x) \) and \( x \)-axis is....

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Let \( f(x)=\min [x+1, \sqrt{(1-x)}] \). Then area bounded
\( \mathrm{P} \)
by \( f(x) \) and \( x \)-axis is
(1) \( \frac{1}{6} \)
(2) \( \frac{5}{6} \)
(3) \( \frac{7}{6} \)
(4) \( \frac{11}{6} \)


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