Evaluate `lim_(x->t) (x^(2)-t^(2))/(x^(4)-t^(4)`

Evaluate lim_(x rarr4)int_(4)^(x)((4t-f(t)))/((x-4))dt

Evaluate :lim_(x rarr0)(int_(0)^(x^(2))sin sqrt(t)dt)/(x^(3))

Evaluate: lim_(x rarr0)(int_(0)^(x)cos t^(2)dt)/(x)

The value of lim_(x to 0)(1)/(x^(3))(t " In"(1+t))/(t^(4)+4)dt is

lim_(x to oo)(int_0^(2x) te^(t^(2))dt)/(e^(4x^(2))) equals

Given that lim_(x to oo)(int_(0)^(x)(t^(2))/(sqrt(a+t))dt)/(bx-sinx) = 1 , then find the values of a and b.

lim_(t rarr4^(+))(t-[t])