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Joint Entrance Examination
Mathematics
Area Under Curves
Question 204
Question 204 of 230
Medium
MCQ
The area of the region A = {(x, y) : 0 \[ \le \] y \[ \le \]x |x| + 1 and -1 \[ \le \] x \[ \le \]1} in sq. units, is :
A
\[{2 \over 3}\]
B
2
C
\[{4 \over 3}\]
D
\[{1 \over 3}\]
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Official solution
Required area \[ = \int\limits_{ - 1}^1 {\left( {x\left| x \right| + 1} \right)} dx\] \[ = 0 + \left( x \right)_{ - 1}^1 = 2\]
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