What is area y= 26/5-1/x ,y=x ?

The answer to area y= 26/5-1/x ,y=x is -2ln(5)+312/25

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area y= 26/5-1/x ,y=x

area

y = \frac{26}{5} - \frac{1}{x}, y = x

- 2 ln (5) + \frac{312}{25}

Decimal

9.26112 \dots

Solution steps

Apply the area formula:

\int_{\frac{1}{5}}^{5} \frac{26}{5} - \frac{1}{x} - x d x

Solve

\int_{\frac{1}{5}}^{5} \frac{26}{5} - \frac{1}{x} - x d x : - 2 ln (5) + \frac{312}{25}

The area is:

= - 2 ln (5) + \frac{312}{25}

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What is area y= 26/5-1/x ,y=x ?
The answer to area y= 26/5-1/x ,y=x is -2ln(5)+312/25