1
JEE Main 2021 (Online) 25th February Evening Shift
Numerical
+4
-1
The value of $$\int\limits_{ - 2}^2 {|3{x^2} - 3x - 6|dx}$$ is ___________.
2
JEE Main 2021 (Online) 24th February Morning Shift
Numerical
+4
-1
If $$\int\limits_{ - a}^a {\left( {\left| x \right| + \left| {x - 2} \right|} \right)} dx = 22$$, (a > 2) and [x] denotes the greatest integer $$\le$$ x, then$$\int\limits_{ - a}^a {\left( {x + \left[ x \right]} \right)} dx$$ is equal to _________.
3
JEE Main 2020 (Online) 4th September Evening Slot
Numerical
+4
-0
Let {x} and [x] denote the fractional part of x and
the greatest integer $$\le$$ x respectively of a real
number x. If $$\int_0^n {\left\{ x \right\}dx} ,\int_0^n {\left[ x \right]dx}$$ and 10(n2 – n),
$$\left( {n \in N,n > 1} \right)$$ are three consecutive terms of a G.P., then n is equal to_____.
4
JEE Main 2020 (Online) 2nd September Evening Slot
Numerical
+4
-0
Let [t] denote the greatest integer less than or equal to t.
Then the value of $$\int\limits_1^2 {\left| {2x - \left[ {3x} \right]} \right|dx}$$ is ______.