4_Sigma_Notation_and_Writing_Area_as_a_Limit_HW.pdf - Sigma...

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© 2017 Flamingo MathTMJean AdamsSigma Notation and Name ______________________________ Writing Area as a Limit Homework Use the graph of the function to write the definite integral as a limit.
Write the area of each region bounded by the graph of each function and the x-axis on [𝒂𝒂,𝒃𝒃] as a limit expression of the Riemann Sum. Then, compute the area under the graph. 3.𝑦𝑦= 2𝑥𝑥+ 1on [1, 5]4.𝑓𝑓(𝑥𝑥) = 2𝑥𝑥3on [0, 2]5.𝑔𝑔(𝑥𝑥) =𝑥𝑥4on [0, 1]6.(𝑥𝑥) = 6− 𝑥𝑥2on [0, 2]
© 2017 Flamingo MathTMJean AdamsWrite the area represented by the limit as a definite integral. Use your calculator to evaluate each definite integral.

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