The Maple Learn document used in this video is here: ►https://learn.maplesoft.com/d/LIIPPFOQLNNMAFCSCGIPOTPROIDJLODOAMEFHFIPLLBFAQDGERKHIOLUISIQLMJMALKOIMMRNPISLSNGKROLLUPODRFNISBPLIGJ
You can get started (completely for free) making interactive math documents that solve your equations here: ►https://www.maplesoft.com/products/learn/?p=TC-9857. My thanks to Maple Learn for sponsoring today's video,
0:00 The function x^x
1:58 Converting to a sum of integrals
3:54 Computing the integrals with the Gamma Function
7:35 Computing the final result
8:46 Estimating the value using Maple Learn
I found this particular integral in the great book Inside Interesting Integrals by Paul Nahin, you can find the amazon link (affiliate) here: https://www.amazon.com/dp/1493912763?linkCode=ssc&tag=onamztrefor-20&creativeASIN=1493912763&asc_item-id=amzn1.ideas.1LDBK6PWX9W5L&ref_=aip_sf_list_spv_ofs_d_asin
COURSE PLAYLISTS:
►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►VECTOR CALCULUS (Calc IV) https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa
►DIFFERENTIAL EQUATIONS: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw
►LAPLACE TRANSFORM: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
►GAME THEORY: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX
OTHER PLAYLISTS:
► Learning Math Series
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Cool Math Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
BECOME A MEMBER:
►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join
MATH BOOKS I LOVE (affilliate link):
► https://www.amazon.com/shop/treforbazett
SOCIALS:
►X/Twitter: http://x.com/treforbazett
►TikTok: https://www.tiktok.com/@drtrefor