0,1" for which "int_(0)^(x)(t^(2))/(1+t^(4))dt=2x-1" is "

Total number of distinct x epsilon [0,1] for which int_(0)^(x) (t^(8)+1)/(t^(8)+t^(2)+1) dt=3x-2 is ______

The interval in which f(x)=int_(0)^(x){(t+1)(e^(t)-1)(t-2)(t-4)} dt increases and decreases

The interval in which f(x)=int_(0)^(x){(t+1)(e^(t)-1)(t-2)(t-4)} dt increases and decreases

The interval in which f(x)=int_(0)^(x){(t+1)(e^(t)-1)(t-2)(t+4)} dt increases and decreases

If int_(0)^(1)(e^(t))/(1+t)dt=a then int_(0)^(1)(e^(t))/((1+t)^(2))dt is equal to

The values of lim_(x rarr 0) (1)/(x^(3)) int_(0)^(x) (t In (1 + t))/(t^(4) + 4)dt is :

Let A = int_0^(1) e^(t)/(t+1) dt , then int_0^(1) (t.e^(t^(2)))/(t^(2)+1) dt =

If y = int_(0)^(x) (t^(2))/(sqrt(t^(2)+1))dt then (dy)/(dx) at x=1 is

If int_(0)^(1)(e^(t))/(1+t)dt=a, then find the value of int_(0)^(1)(e^(t))/((1+t)^(2))dt in terms of a