Book recommend for topics of Integrals in multivariable calculus. I am an average student and have to study following topics on my own for the exam : 

The measure of a bounded interval in $\mathbb R^n$ , the Riemann integral of a bounded function defined 
  on a compact interval in $\mathbb R^n$ , Sets of measure zero and Lebesgue’s criterion for existence of a 
  multiple Riemann Integral, Evaluation of a multiple integral by iterated integration.  

Please can anyone suggest some good self-study book providing good insight into the above topics ..

I would say Mathematical Analysis II by Zorich fits the bill.
