jee-main 2022 Q74

jee-main · India · session2_27jul_shift2 Indefinite & Definite Integrals Piecewise/Periodic Function Integration

$\int _ { 0 } ^ { 2 } \left( \left| 2 x ^ { 2 } - 3 x \right| + \left[ x - \frac { 1 } { 2 } \right] \right) d x$, where $[ t ]$ is the greatest integer function, is equal to
(1) $\frac { 7 } { 6 }$
(2) $\frac { 19 } { 12 }$
(3) $\frac { 31 } { 12 }$
(4) $\frac { 3 } { 2 }$

$\int _ { 0 } ^ { 2 } \left( \left| 2 x ^ { 2 } - 3 x \right| + \left[ x - \frac { 1 } { 2 } \right] \right) d x$, where $[ t ]$ is the greatest integer function, is equal to\\
(1) $\frac { 7 } { 6 }$\\
(2) $\frac { 19 } { 12 }$\\
(3) $\frac { 31 } { 12 }$\\
(4) $\frac { 3 } { 2 }$

Paper Questions

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