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Joint Entrance Examination
Mathematics
Area Under Curves
Question 193
Question 193 of 230
Medium
MCQ
The area of the region enclosed by the curves \[y = x,x = e,y = {1 \over x}\] and the positive
x
x
x
-axis is :
A
\[1\] square unit
B
\[{3 \over 2}\] square units
C
\[{5 \over 2}\] square units
D
\[{1 \over 2}\] square unit
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Official solution
Area of required region
A
O
C
B
AOCB
A
O
C
B
\[ = \int\limits_0^1 {xdx} + \int\limits_1^e {{1 \over x}dx = {1 \over 2}} + 1 = {3 \over 2}\] sq. units
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