JEE Main & Advanced
JEE Main Paper (Held On 09-Jan-2019 Evening)
question_answer
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 :
[JEE Main Online Paper (Held On 09-Jan-2019 Evening]
A)\[\frac{4}{3}\]
B) \[\frac{1}{3}\]
C) \[\frac{2}{3}\]
D) 2
Correct Answer:
D
Solution :
Required area \[=\,\,\,\int\limits_{-1}^{1}{\left( x\left| x \right|+1 \right)dx}\] \[=0+{{\left( x \right)}^{1}}_{-1}=2\]