JEE Advanced questions
3844 published questions with worked solutions.
- _ -2 ^ 2 |1 - x^2| ,dx is
- _ - /4 ^ /4 e^x ^2 x ,dx e^ 2x - 1 is equal to
- _1^3 |(2 - x) _e x | dx is equal to
- _ -2 ^ 2 |x(x-1)| ,dx is
- The value of _ -2 ^ 2 ^2 x [ x ] + 12 ,dx, where [x] = the greatest integer greater than or equal to x, is
- If _0^x f(t) ,dt = x + _x^1 t f(t) ,dt then the value of f(1) is
- The value of _ -1 ^ 1 2 - x, 2, 1 + x is
- Let f be a positive function. If I_1 = _ 1-k ^ k x f x(1-x) ,dx, I_2 = _ 1-k ^ k f x(1-x) ,dx, where 2k - 1 > 0, then I_1 I_2 is
- If x (2n , 2n + ) then _0^x [ x] ,dx, where [x] = greatest integer less than or equal to x, is equal to
- The value of _ - /2 ^ /2 dx ^3 x + x is
- _0^ dx 1 + 3^ x is equal to
- If [y] = the greatest integer less than or equal to y then _ /2 ^ 3 /2 [2 x] ,dx is
- The value of _0^ 2 dx e^ x + 1 is
- _ a/4 ^ 3a/4 x a - x + x ,dx is equal to
- If f(x) = _0^ x ^ -1 t ,dt + _0^ x ^ -1 t ,dt, 0 < x < 2 , then f ! ( 4 ) is
- The value of _ ^ x|x| ,dx, where < 0 < , is
- _ -1 ^ 1 (x - [2x]) ,dx is equal to
- If f(x) = cases |x| + 1, & -1 x < 0 1 + |x|^2, & 0 x 1 cases then _ -1 ^ 1 f(x) ,dx is equal to
- _0^3 |x^3 - 3x^2 + 2x | dx is equal to
- Let f(x) = e^x + 1 e^x - 1 and _0^1 e^x + 1 e^x - 1 x ,dx = . Then _ -1 ^ 1 t f(t) ,dt is equal to