Question: Hi, Im working on a problem that requires finding the average value of a function over a given interval, and applying Equation (4.8) if need
Hi, Im working on a problem that requires finding the average value of a function over a given interval, and applying Equation (4.8) if need be. Find the average value of sin^2(3x) on (0,4) Find the average value of sin(x)+ sin(2x) on (0,2) Equation (4.8) states that: The average value (Over a period) of sin^2 nx = the average value (over a period) of cos^2 nx =1/2 the intergarl from -pi to pi sin^2 nx dx =1/2pi the intergral from -pi to pi cos^2 nx dx = pi/2pi =1/2 I want to make sure I apply this correctly. Can someone walk me through the step-by-step process for solving these problems? Also, if a quick sketch can help determine if the average is zero, how do I do that? If you know any YouTube videos that explain this concept clearly, Id love a recommendation! Thanks in advance for the help
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