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How domain integrals are defined and how you can imagine them. How you can use domain integrals to determine volumes and how you can calculate such integrals using Fubini's theorem by iterated integration. The BRAND NEW book: http://weitz.de/GDM/ The NEW book: http://weitz.de/PP/ The graphics were all created with TikZ and PGFPlots: • Graphics in LaTeX (PGF/TikZ) Riemann Integral: http://weitz.de/y/cY9thBS-xZE?list=PL... Lebesgue Integral: http://weitz.de/y/uUkDdz48myo?list=PL... Fundamental Theorem of Analysis: http://weitz.de/y/5PgCenw7Tf8?list=PL... Transformation Theorem: http://weitz.de/y/geJ-36mnZ1I The slightly different math textbook: http://weitz.de/KMFI/ Video in playlist context: http://weitz.de/y/u3qYaKv0Ffo?list=PL... Chronological list: http://weitz.de/haw-videos/ Illustrations by Heike Stephan: / haiartandillustration General notes: http://weitz.de/youtube.html