Module5 - Module 5 Problems 1 Evaluate the Riemann sum for(x = x3 6x for 0 x 3 with six subintervals taking the sample points xi to be the right

# Module5 - Module 5 Problems 1 Evaluate the Riemann sum...

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Module 5 Problems 1.Evaluate the Riemann sum for (x) = x3− 6x, for 0 ≤ x≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval. Give three decimal places in your answer. 2.Explain, using a graph of f(x), what the Riemann sum in Question #1 represents
3.Express the given integral as the limit of a Riemann sum but do not evaluate:
3i36(3i)n3n¿¿i=n¿limn→ ∞¿ 4.Use the Fundamental Theorem to evaluate (Your answer must include the antiderivative.) . 3x36xX^4/4 – 3x^2 + C3^4/4 – 3(3)^2 = 20.25-27=-6.750^4/4 – 3(0)^2 = 0 – 0=0-6.75-0=6.75(0.5)3.375 5.Use a graph of the function to explain the geometric meaning of the value of the integral.
The approximate area under of the graph x^3-6x with six subinterval on an interval of [0, 3] is 3.375.
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