Question

use mathematica pls (i’ll rate) thanks

Discovery Project: Patterns of Integrals Due date: July 3,2019 Maximum points: 25 Directions: In this project a computer algebra system (mainly Mathematica) is used to investigate integrals of families of functions. By observing the patterns that occur in the integrals of several remembers of the fam ily, you will first guess and then prove, a general formula for the integrals of a member of the family. You will turn in all the commands (formulas used) in Mathematica or otherwise and the results you obtained for all of the items. (a) Use Mathematica to evaluate the folowing integrals. (2 points each) 1. x+2xcx+6) (x+3Xx+4) dy (x+4) (b) Based on the pattern of your responses in part (a). guess the value of the integral (2 points) Sr+aKX+by 1 d, i ae b. What if a =b (c) Check your guess by a using computer algebra system (CAS)Mathematica to evaluate the integral in part (b). Then prove it using partial fractions (4 points)

Answer 1

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