# integration of a complex function having many terms

I have a function that is $$f(x) = x^2 \sin^2\left(x^2\log\left(\frac{1}{x}\right)\right)$$

here log is in base 10.

How to start of it to get a simplified step?

I tried taking $\log(1/x)=t$ and also tried one more substituion after this but there I got stuck.