What Is DT?

What is the 1st derivative of: F(x) =int[(t^2+1)^(1/2)]dt from 'sqrt(x) to 'x' ?

• what is the 1st derivative of: F(x) =int[(t^2+1)^(1/2)]dt from 'sqrt(x) to 'x' ???

• Answer:

  use one of Leibnitz's theorems.......√( x² + 1 ) - √ ( x + 1) [ 1 / ( 2√x ) ]..theorem results are if F(x) = int over t in [ a(x) , b(x) ] of { g(t)dt } then dF / dx = g(b(x)) [ db /dx ] - g(a(x)) [ da / dx ]