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The value of the integral \(\displaystyle \int_2^3 \frac{d x}{\ln x}\)

is \(<2\)

\(=2\)

lies in \((2,3)\)

is \(>3\).

Note by Paramjit Singh 3 years, 8 months ago

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\(\displaystyle \int_{2}^{3} \frac{dx}{\ln x} \leq \int_{2}^{3}\frac{dx}{\ln 2} =\frac{1}{\ln(2)} = 1.44... <2\)

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Perfect!

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## Comments

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TopNewest\(\displaystyle \int_{2}^{3} \frac{dx}{\ln x} \leq \int_{2}^{3}\frac{dx}{\ln 2} =\frac{1}{\ln(2)} = 1.44... <2\)

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Perfect!

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