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NCERT Class XII Mathematics Chapter - - Solutions

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Exercise - 7.9
Evaluate the definite integrals in Exercises 176 to 195.
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Question : 177 of 271
Marks: +1, -0
∫231x dx\int\limits_{2}^{3} \frac{1}{x} \, dx
Solution:  
∫231x dx=[log⁡x]23\int\limits_{2}^{3} \frac{1}{x} \, dx = \left[ \log x \right]_{2}^{3}
=log⁡3−log⁡2=log⁡32= \log 3 - \log 2 = \frac{\log 3}{2}
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