Chapter 25, Problem 23P

The following function exhibits both flat and steep regions over a relatively short x region:

$f\left(x\right)=\frac{1}{{\left(x-0.3\right)}^2+0.01}+\frac{1}{{\left(x-0.9\right)}^2+0.04}-6$

Determine the value of the definite integral of this function between $x=0\text{ and 1}$ using an adaptive RK method.