Let … denote the greatest integer …. Consider the function …. Then the value of the integral … is

Option A. Combining both the graph we get,

Area Under the Curves

JEE Main 2023 · 29 Jan, Morning shift · Q2856

MathematicsHard94×since 2002Q2856

Let

[x]

denote the greatest integer

\le x

. Consider the function

f(x) = \max \left\{ {{x^2},1 + [x]} \right\}

. Then the value of the integral

\int\limits_0^2 {f(x)dx}

JEE Main 2023 · 29 Jan, Morning shift · Q2856

MathematicsHard94×since 2002Q2856

Let

[x]

denote the greatest integer

\le x

. Consider the function

f(x) = \max \left\{ {{x^2},1 + [x]} \right\}

. Then the value of the integral

\int\limits_0^2 {f(x)dx}