Consider the functions f(x) and g(x), both defined from R→R and are defined as f(x)=2x−x2andg(x=xn where n∈N. If the area between f(x) and g(x) is 1/2, then the value of n is

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Consider the functions f(x) and g(x), both defined from {R}{R}

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Consider the functions f(x) and g(x), both defined from $R \to R$ and are defined as $f (x) = 2 x - x^{2} and g (x_{=} x^{n}$ where $n \in N$ . If the area between f(x) and g(x) is 1/2, then the value of n is

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Consider the functions f(x) and g(x), both defined from

R \to R

and are defined as

f (x) = 2 x - x^{2} and g (x_{=} x^{n}

where

n \in N

. If the area between f(x) and g(x) is 1/2, then the value of n is

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Question Text

Consider the functions f(x) and g(x), both defined from

R \to R

and are defined as

f (x) = 2 x - x^{2} and g (x_{=} x^{n}

where

n \in N

. If the area between f(x) and g(x) is 1/2, then the value of n is