Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right e
ndpoint of each interval. Give three decimal places in your answer. Explain, using a graph of f(x), what the Riemann sum in Question #1 represents. Express the given integral as the limit of a Riemann sum but do not evaluate: the integral from 0 to 3 of the quantity x cubed minus 6 times x, dx. Use the Fundamental Theorem to evaluate the integral from 0 to 3 of the quantity x cubed minus 6 times x, dx. (Your answer must include the antiderivative.) Use a graph of the function to explain the geometric meaning of the value of the integral. 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. Explain, using a graph of f(x), what the Riemann sum in Question #1 represents. Express the given integral as the limit of a Riemann sum but do not evaluate: the integral from 0 to 3 of the quantity x cubed minus 6 times x, dx. Use the Fundamental Theorem to evaluate the integral from 0 to 3 of the quantity x cubed minus 6 times x, dx. (Your answer must include the antiderivative.) Use a graph of the function to explain the geometric meaning of the value of the integral.
