The area (in sq. units) of the region A = (x, y): (x – 1)[x] ≤ y ≤ 2 x, 0 ≤ x ≤ 2, where [t] denotes the greatest integer function, is:

Integral Calculus: JEE Main 2020 Mathematics question

JEE Main 2020 · 5 Sep, Evening shift · Q2823

JEE Main 20205 Sep, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

The area (in sq. units) of the region A = {(x, y) : (x – 1)[x]

\le

\le

\sqrt x

, 0

\le

\le

2}, where [t] denotes the greatest integer function, is :

JEE Main 2020 · 5 Sep, Evening shift · Q2823

JEE Main 20205 Sep, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

The area (in sq. units) of the region A = {(x, y) : (x – 1)[x]

\le

\le

\sqrt x

, 0

\le

\le

2}, where [t] denotes the greatest integer function, is :