JEE Advanced questions
3844 published questions with worked solutions.
- If f(x), g(x) be differentiable functions and f(1)=g(1)=2 then _ x 1 f(1)g(x)-f(x)g(1)-f(1)+g(1) g(x)-f(x) is equal to
- If f(a)=2, f'(a)=1, g(a)=-1, g'(a)=2 then _ x a g(x)f(a)-g(a)f(x) x-a is
- _ n (1+ a n )^ n is equal to
- _ x 0 ( 1+5x^ 2 1+3x^ 2 )^ 1/x^ 2 is equal to
- _ x 0 ( 4 -x ) ^ 1/x is equal to
- _ x /4 (2- x)^ x is equal to
- _ x ( x-1 x+1 )^ x+2 is equal to
- If _ x (1+ x + x^ 2 )^ 2x =e^ 2 then
- _ 0+ is equal to
- Let x denote the fractional part of x. Then _ x 0 x x is equal to
- _ x _e[x] x , where [ ] denotes the greatest integer function, is
- _ x 1 1- 2(x-1) x-1
- _ x 1 x x-[x] x-1 , where [ ] denotes the greatest integer function, is
- _ x 0 x[x] |x| , where [ ] denotes the greatest integer function, is
- _ x 2 [2-x]+[x-2]-x
- _ x -1 [x]+|x| , where [ ] denotes the greatest integer function,
- If f(x)= cases [x] [x] , & [x] 0 [2mm] 0, & [x]=0 cases , where [ ] denotes the greatest integer function, then _ x 0 f(x) is...
- _ x 0 _0^ x^2 t^2 ,dt x x is equal to
- _ x a x x-a _a^x f(x) ,dx is equal to
- _ x 1+0 _1^x|t-1| ,dt (x-1) is equal to