A good book dedicated to study integration on chains and manifolds

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I have read m. Spivak's calculus on manifolds(the first three chapters) and I believe that I understood it well, however I had problems with the chapters concerning integration on chains and manifolds(perhaps because I'm a selflearner with no instructor) it just got very dull and with no enough exposure..... So I'm asking if you could help me with finding a book (hopefully available in pdf) to resume my study for the topics I've had problems with(integration on chains and manifolds) ... Thanks in advance.