Please help me solve number 11, the methods from chapter 6.5 is the midpoint rule, simpson's rule, and trapezoidal rule. I believe we have to use error bounds from these tests in order to test for accuracy, but I forgot how to do so. Please help me out and thank you! Also please show your work and explanation afterwards.

9. (5 points) Find the function whose power series representation is Zf=O(l)"($2 1)\". 10. (5 points) Find the solution for % = %x7) with the condition y(0) = 3. 11. (5 points) Using integration by parts we can determine f01x1n($ + 1)d$ = i. From what we dis cussed in chapter 8, we know fol $ln(x + 1)dx z 22:1(1)"+1n(++2). Choose a method from chap- ter 6.5 to estimate fol 331n(03 + 1)d:c and state how many terms are needed to be more accurate than 5 n 1 _ Egg1) \"W _ 26190476. Page 7