{"type":"video","version":"1.0","html":"<iframe src=\"https://www.loom.com/embed/45196965f50745f78396911918ed3d02\" frameborder=\"0\" width=\"1838\" height=\"1378\" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe>","height":1378,"width":1838,"provider_name":"Loom","provider_url":"https://www.loom.com","thumbnail_height":1378,"thumbnail_width":1838,"thumbnail_url":"https://cdn.loom.com/sessions/thumbnails/45196965f50745f78396911918ed3d02-bb5e93d5f4a75798.gif","duration":2391.329967,"title":"9FM0 CP2 - Set 9 - Hyperbolic Functions","description":"I work through several hyperbolic functions questions step by step. First, I prove tanh inverse x equals one half ln of 1 plus x over 1 minus x, then use it to solve for x in a later part while rejecting invalid solutions. I then compute a volume of revolution about the y axis using an integral in terms of sinh and exponentials, giving a final numeric form. After that, I determine exact x coordinates of stationary points for a curve, and I finish with a hyperbolic substitution integral and a definite integral with a final expression involving ln and root 2. I did not request any action from viewers."}