24. sum_{i=1}^{25} (i^3 - 2i)
Evaluating a Sum In Exercises 25, 26, 27, and 28, use the summation formulas to rewrite the expression without the summation notation. Use the result to find the sums for n = 10, 100, 1000, and 10,000.
25. sum_{i=1}^{n} frac{2i + 1}{n^2}
26. sum_{j=1}^{n} frac{7j + 4}{n^2}
27. sum_{k=1}^{n} frac{6k(k - 1)}{n^3}
28. sum_{i=1}^{n} frac{2i^3 - 3i}{n^4}
Approximating the Area of a Plane Region In Exercises 29, 30, 31, 32,