6. (4 marks) For most functions, there is no nice integral. Consider . 10 1=1 1/3 (x +loge x)/3dx. 1/3 Here is what wolfram says about the indefinite integral. (a) Explain how you know a left hand Riemann sum will be an underestimate for A, and a right hand Riemann sum will be an overestimate. It may help to use technology to draw the function y = (x +log, x)"' from x =2 to x = 10. (b) Using technology, estimate A using Ln, the left hand Riemann Sum using n partitions for n = 100, 200, 500 and 1000. Include enough information in your solution to give a sense of how technology was used. A single screenshot of relevant information, for example, would be appropriate. Report the approximation for A to the precision justified by the sequence of answers you have obtained.