Engineering
Mathematics
Introduction to Area
Question
The area of the region enclosed by the curves y = x, x = e, y = 1/x and the positive x-axis is :
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Solution
Required area
= OAB + ACDB
\( = \frac{1}{2} \times 1 \times 1 + \int\limits_1^e {\frac{1}{x}dx} \)
\( = \frac{1}{2} + (\ln x)_1^e\)
\( = \frac{3}{2}\) square unit
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