How do you use the second fundamental theorem of Calculus to find the derivative of given #int dt/sqrt( 1 + t^2) # from #[x, 2x]#?
the FTC part 2 tells us that
so we first need to arrange the integral so that FTC-2 can be applied
the green term is now good to go as it matches exactly the patterm given above. we can say that
the term in red needs a little more work
if we re-write it as
then applying the chain rule
combining this with