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QJEEM19Ma205b: JEE Main 2019 Mathematics - Class 12 JEEM19Ma205b Solution: The area of the region A = {(x, y) : 0 y x

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 :

Multiple Choice Options

A ${2 \over 3}$
B 2
C ${4 \over 3}$
D ${1 \over 3}$

Step-by-Step Verified Solution

JEE Main 2019 (Online) 9th January Evening Slot Mathematics - Area Under The Curves Question 120 English Explanation

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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