What is area 17/4-1/x ,x, 1/4 ,4 ?

The answer to area 17/4-1/x ,x, 1/4 ,4 is -4ln(2)+255/32

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area 17/4-1/x ,x, 1/4 ,4

area

\frac{17}{4} - \frac{1}{x}, x, \frac{1}{4}, 4

- 4 ln (2) + \frac{255}{32}

Decimal Notation

5.19616 \dots

Solution steps

Apply the area formula:

\int_{\frac{1}{4}}^{4} \frac{17}{4} - \frac{1}{x} - x d x

Solve

\int_{\frac{1}{4}}^{4} \frac{17}{4} - \frac{1}{x} - x d x : - 4 ln (2) + \frac{255}{32}

The area is:

= - 4 ln (2) + \frac{255}{32}

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What is area 17/4-1/x ,x, 1/4 ,4 ?
The answer to area 17/4-1/x ,x, 1/4 ,4 is -4ln(2)+255/32