jee-main 2022 Q77

jee-main · India · session2_26jul_shift2 Areas by integration
The area bounded by the curves $y = | x ^ { 2 } - 1 |$ and $y = 1$ is
(1) $\frac { 2 } { 3 } ( \sqrt { 2 } + 1 )$
(2) $\frac { 4 } { 3 } ( \sqrt { 2 } - 1 )$
(3) $2 ( \sqrt { 2 } - 1 )$
(4) $\frac { 8 } { 3 } ( \sqrt { 2 } - 1 )$
The area bounded by the curves $y = | x ^ { 2 } - 1 |$ and $y = 1$ is\\
(1) $\frac { 2 } { 3 } ( \sqrt { 2 } + 1 )$\\
(2) $\frac { 4 } { 3 } ( \sqrt { 2 } - 1 )$\\
(3) $2 ( \sqrt { 2 } - 1 )$\\
(4) $\frac { 8 } { 3 } ( \sqrt { 2 } - 1 )$