Integrals
NCERT Class 12
CBSE
Grade 12
Question:
The value of $\int_2^3 \dfrac{1}{x} dx$ is:
(a) $\log\left(\dfrac{3}{2}\right)$
(b) $\log\left(\dfrac{2}{3}\right)$
(c) $\log 6$
(d) $\log 5$
Step-by-Step Solution
$[\log x]_2^3 = \log 3 - \log 2 = \log(3/2)$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Evaluating definite integral $= \log(3/2)$: 1.0 Mark
Correct Answer: $\log\left(\dfrac{3}{2}\right)$
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