Tag Archives: integration

Examples From Inside Interesting Integrals by Paul Nahin: Part 4

Part 1 Part 2 Part 3 This is part 4/4 of a review by example of Inside Interesting Integrals by Paul Nahin. Here, we will use two methods to solve problem C8.8: \( \int\limits_{-\infty}^{\infty} \frac{x^{2}}{(x^{2}+a^{2})^{3}} dx = \frac{\pi}{8a^{3}} \) for … Continue reading

Posted in Mathematics | Tagged , , | Comments Off on Examples From Inside Interesting Integrals by Paul Nahin: Part 4

Examples From Inside Interesting Integrals by Paul Nahin: Part 3

Part 1 Part 2 I continue my review by example of Inside Interesting Integrals by Paul Nahin with a problem from Chapter 3: Feynman’s Favorite Trick. We want to prove \( I = \int\limits_{-1}^{1} \sqrt{\frac{1+x}{1-x}} dx = \pi \), problem … Continue reading

Posted in Mathematics | Tagged | Comments Off on Examples From Inside Interesting Integrals by Paul Nahin: Part 3

Examples From Inside Interesting Integrals by Paul Nahin: Part 2

I continue my review by example of Inside Interesting Integrals by Paul Nahin with a problem from Chapter 3: Feynman’s Favorite Trick. I will also make use of the gamma function which Nahin covers in Chapter 4: Gamma and Beta … Continue reading

Posted in Mathematics | Tagged , | Comments Off on Examples From Inside Interesting Integrals by Paul Nahin: Part 2

Examples From Inside Interesting Integrals by Paul Nahin: Part 1

In a previous post, “Inside Interesting Integrals by Paul Nahin“, I mentioned that I had put Nahin’s book on my wish list. I purchased it recently and have worked through about 2/3 of it. As I hate writing book reviews, … Continue reading

Posted in Mathematics | Tagged | Comments Off on Examples From Inside Interesting Integrals by Paul Nahin: Part 1

Inside Interesting Integrals by Paul Nahin

Nahin, a prolific writer of popular and semi-poplular books on math and engineering, authored Inside Interesting Integrals which was published a couple of weeks ago. The book is a collection of methods for finding closed form solutions of definite integrals, … Continue reading

Posted in Mathematics, Reading | Tagged , | Comments Off on Inside Interesting Integrals by Paul Nahin