FINDING THE DEFINITE INTEGRAL OF A NON-CONTINUOUS FUNCTION For the most part, this class will be…
FINDING THE DEFINITE INTEGRAL OF A NON-CONTINUOUS FUNCTION For the most part, this class will be focused on finding the integrals of “nice” continuous functions. This will result in a lot of different techniques like “u-sub” and “integration by parts” among others. However, we can still find the definite integrals of some types of discontinuous functions. Consider the function if x #4 f(x) = 10 if c= 4. Graph it is Desmos if you are having trouble visualizing it. This function has only one discontinuity at x = 2 and is bounded on the interval (0,4]. Thus, it is integrable on (0,4]. To calculate the definite integral, we will approach this function using right Riemann sums: a.) To set up the right Riemann sum, let n be an integer. What is Ax? Apr 08 2022 02:07 PM
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