Improper integral

$\int_{0}^{1} \frac{dx}{x-sinx} $

Hi. Instructions for this problem are to evaluate the improper integral or show that it diverges. I'm stuck at integrating this function. If someone could please explain how to do that, and also convergence/divergence of this improper integral. Thank you for your time. 

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  • thanks again philip really appreciate the two quick responses

  • I am glad I was able to help:)

The answer is accepted.