Let $f (x)$ =M a xi mu m ${x^{2}, (1 - x)^{2}, 2 x (1 - x)},$ where $0 \leq x \leq 1 .$ Determine the area of the region bounded by the curves $y = f (x)$ ,x-axis ,x=0,\displaystyle{\quad\text{and}\quad}

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Let

f (x)

=M a xi mu m

{x^{2}, (1 - x)^{2}, 2 x (1 - x)},

where

0 \leq x \leq 1 .

Determine the area of the region bounded by the curves

y = f (x)

,x-axis ,x=0,\displaystyle{\quad\text{and}\quad}

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Question Text

Let

f (x)

=M a xi mu m

{x^{2}, (1 - x)^{2}, 2 x (1 - x)},

where

0 \leq x \leq 1 .

Determine the area of the region bounded by the curves

y = f (x)

,x-axis ,x=0,\displaystyle{\quad\text{and}\quad}

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