Seeking suggestions for a book with hard problems about surface and volume integrals

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I am interested about the hard problem of surface and volume integral, so can anyone suggest me a book based on the problem on surface and volume integral (containing a lot of hard problem) for practicing and different types problem solving? The book should be theoretical as well as practical, any kind of help is acceptable.

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G.M Fiftenholtz " Differential and Integral Calculus " vol 3 says advanced integration methods for intrinsic volumes and areas. That's just for beginning