What is area y= 2/x ,y=7-x ?

The answer to area y= 2/x ,y=7-x is -ln((2017+315sqrt(41))/8)+7sqrt(41)-(7sqrt(41))/2

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area y= 2/x ,y=7-x

area

y = \frac{2}{x}, y = 7 - x

- ln (\frac{2017 + 315 41}{8}) + 741 - \frac{7 41}{2}

Decimal Notation

16.18786 \dots

Solution steps

Apply the area formula:

\int_{\frac{7 - 41}{2}}^{\frac{7 + 41}{2}} \frac{2}{x} - (7 - x) d x

Solve

\int_{\frac{7 - 41}{2}}^{\frac{7 + 41}{2}} \frac{2}{x} - (7 - x) d x : - ln (\frac{2017 + 315 41}{8}) + 741 - \frac{7 41}{2}

The area is:

= - ln (\frac{2017 + 315 41}{8}) + 741 - \frac{7 41}{2}

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What is area y= 2/x ,y=7-x ?
The answer to area y= 2/x ,y=7-x is -ln((2017+315sqrt(41))/8)+7sqrt(41)-(7sqrt(41))/2