$$ \int_0^1 \frac{\sin(10^6\sin(\pi \cdot 10^2 \sqrt{10 y^2 + 10}))}{\sin(\pi \cdot 10^2 \sqrt{10 y^2 + 10})}dy $$
What sort of numerical integration method works for this kind of problem? Guassian Quadrature, trapezoidal?
I'm not so good with numerical integrals of this type sorry and even WolframAlpha has a problem finding the integral.