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Let the function f: [0,1] โ†’ R be defined by f(x)= ๐Ÿ’^๐’™/(๐Ÿ’^๐’™+๐Ÿ). Value of f(๐Ÿ/๐Ÿ’๐ŸŽ)โ€ฆ+f(๐Ÿ‘๐Ÿ—/๐Ÿ’๐ŸŽ)-f(๐Ÿ/๐Ÿ).

IIT JEE INTEGRALS If `f` is continuous function and `F(x)=int_0^x((2t+3)dotint_t^2f(u)d u)dt ,` ...

If f(x) is a function satisfying (x-y)f(x+y)-(x+y)f(x-y)=2(x^2y-y^3) and f(1)=2 then find f(x)

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Let `f(x)` be a differentiable function satisfying `f(y)f(x/y)=f(x)` `AA`, x,y`in`R, `y!=0` and...

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IIT JEE RELATIONS AND FUNCTIONS If `f(x)` is an even function and satisfies the relation `x^2dotf...

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Let f : R to R be a function defined by f(x) = max. {x, x^(3)}. The set of all points where f(x...

Let `f:R- gtR` be a function such that `f(x+y)=f(x)+f(y),AA x, y in R.`

Let f: R-R be a differentiable function with f(0)=0. If y=f(x) satisfies the D.E. dy/dx=(2+5y)(5y-2)

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IIT JEE INTEGRALS For `x in R` and a continuous function `f,` let `I_1=int_(s in^2t)^(1+cos^2t)xf...

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