If f(x) = `x^2 + 4` , t = z - 1 , then find f(t)

If int_(0)^(x^(2)(1+x))f(t)dt = x then find f(2)

If f (x) =(x+3)/(4x-5) and t =(3+ 5x)/( 4x -1), then f (t) is

If f(t) = 1/(t^(2)-t-6) and t = 1/(x-2) then the values of x which make the function f discontinuous are

Let f : Q to Q : f(x) =3x -4 show tha t f is invertible and find f^(-1)

If the area bounded by y=f(x), the x -axis, the y-axis and x=t(t>0) is t^(2), then find f(x) .

If f(x) is a function such that f(x-1)+f(x+1)=sqrt3t(x) and f(5)=100 , then find sum_(t=0)^(19)f(5+12r) .

If f(x)=x+int_(0)^(1)t(x+t)f(t)dt, then find the value of the definite integral int_(0)^(1)f(x)dx