Find the area under the curve y = 7/x from x = 1 to x = t. Evaluate the area under this curve for t = 10, t = 100, and t = 1000. Find the total area under this curve for x 1. Step 1 The area under the curve is given by We have Step 2 .dx. [7x dx = [ We found that (3-(+) 4 == When t = 10 this equals 100 NN Step 3 When t = 100 this equals 100 72 21 +/- 3.465 3.465 Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) [4-x dx, n = 10 (a) the trapezoidal rule x (b) the midpoint rule X (c) Simpson's rule X