If f:[−1,1]→[−21,21],f(x)=1+x2x, then find the area bounded by y=f−1(x),x axis and lines x=21,x=−21.

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Question

$If f : [- 1, 1] \to [- \frac{1}{2}, \frac{1}{2}], f (x) = \frac{x}{1 + x ^{2}},$ then find the area bounded by $y = f^{- 1} (x), x$ axis and lines $x = \frac{1}{2}, x = - \frac{1}{2} .$

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If f : [- 1, 1] \to [- \frac{1}{2}, \frac{1}{2}], f (x) = \frac{x}{1 + x ^{2}},

then find the area bounded by

y = f^{- 1} (x), x

axis and lines

x = \frac{1}{2}, x = - \frac{1}{2} .

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Question Text

If f : [- 1, 1] \to [- \frac{1}{2}, \frac{1}{2}], f (x) = \frac{x}{1 + x ^{2}},

then find the area bounded by

y = f^{- 1} (x), x

axis and lines

x = \frac{1}{2}, x = - \frac{1}{2} .