Reference for cool exercises on Integrals

Question

I am giving tutorials in calculus and looking for interesting exercises on:

1. integrals (over finite and infinite domains, convergence questions etc.)
2. Series
3. double integrals I have many more or less standard exercises but I would like to present some cool ones. I would be happy for suggestions.

Thanks

Answer 1

There are some interesting books about integrals or integration techniques, they contain exercises:

• Irresistible integrals of Boros and Moll.

• Inside interesting integrals of Nahin.

• Improper Riemann integrals of Roussos.

• Lebesgue integration on Euclidean space of Jones.

• Advanced integration techniques of Alyafeai (I think this last book doesn't contain exercises but it probably will be very interesting to you).

to cite someones. There are other asked questions similar to this one, try to find them with the search bar.

Also there are several books devoted to integration theory, specialized in different areas.