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In Taiwan, if you didn't graduate from Police university, and you want to be a firefighter, you should take Calculus and Chemistry exam. Here's the video doing the Calculus Exam completely. If you're interested in the math problems what firefighters would face with, you can watch the video ! Don't forget to Subscribe my YT channel talking about Calculus, Let's Roar to A+ and Enjoy ! Subscribe: / chuan犬 Instagram: / chuan_calculus I'll do an integral in my ig story, step-by-step tutorials for you ! Follow me ! 00:00 Intro 00:45 Q1 Differentiation of logarithmic function 01:08 Q2 If the slope of curve is 3x^2-1, and pass through (1,2), find the curve 01:25 Q3 Differentiation of arctangent function with chain rule 01:52 Q4 Limit (Indeterminate Form) + Definition of e 03:22 Q5 Improper Integral + Partial Fraction Techniques 06:52 Q6 Improper Integral + Partial Fraction Techniques 08:19 Q7 Find the area outside r=2 and inside the cardioid r=2(1+cosθ) with polar coordinate integral techniques 11:10 Q8 Find the center of mass of area enclosed by y=sin(x) and y=cos(x) from x=0 to x=pi/4 in first quadrant #firefighters #police #math #calculus