I know that in most cases it would just complicate the process and lead to more steps, but is it possible for every integral expressed as a product to be solved using the integration by parts method?
2026-03-26 21:35:07.1774560907
Can all integrals expressed as products be solved using integration by parts?
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There are many integrals which cannot be "solved" in terms of elementary functions or by integration by parts even though they can be written as a product. One such well-know example is
$$\int\frac{e^x}{x}\,dx$$