# Integrate or approximate...

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
4 years, 3 months ago

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

- 4 years, 3 months ago

Perfect!

- 4 years, 3 months ago