I am trying to figure out whether the following integral is convergent or divergent:
$$\int_0^\infty \frac{\sin^2(x) }{(1 + x)^2} dx$$
At this point, I know that the above integral is equal to:
$$\lim_{t\rightarrow\infty}\int_0^t \frac{\sin^2(x) }{(1 + x)^2} dx$$
But I am not sure how to proceed (not sure how to integrate the function).