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# Evaluate the definite integrals in Exercises 1 to 20. Integral 2 to 3 1/x dx

Evaluate the definite integrals in Exercises 1 to 20.

Q2.    $\int_2^3\frac{1}{x}dx$

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Given integral: $I = \int_2^3\frac{1}{x}dx$

Consider the integral $\int_2^3\frac{1}{x}dx$

$\int \frac{1}{x}dx = \log|x|$

So, we have the function of $x$$f(x) = \log|x|$

Now, by Second fundamental theorem of calculus, we have

$I = f(3)-f(2)$

$=\log|3|-\log|2| = \log \frac{3}{2}$

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