Aspire Faculty ID #13946 · Topic: JAMIA MILLIA ISLAMIA MCA 2020 · Just now
JAMIA MILLIA ISLAMIA MCA 2020

The area of the region bounded by the curve $y = \dfrac{1}{x}$, the x-axis, and between $x = 1$ to $x = 6$ is …… sq units.

Solution

Required area $= \int_1^6 \dfrac{1}{x} \, dx = [\log_e x]_1^6 = \log_e 6 - \log_e 1 = \log_e 6.$

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