Question
Question: The area of the region bounded by the curves \(y = x ^ { 2 }\) and y =\|x\| is...
The area of the region bounded by the curves y=x2 and
y =|x| is
A
61
B
31
C
65
D
35
Answer
31
Explanation
Solution
Required area =2[∫01xdx−∫01x2dx]=2[{2x2}01−{3x3}01]
=2[(21−0)−(31−0)]= 2[21−31]=2[61]=31.
