Chapter 4 question 9

Discussion in 'CS1' started by Molly, Jan 4, 2023.

  1. Molly

    Molly Ton up Member

    Hi all,

    Sorry me again,

    am doing question 9, i understand the methodology of needing to integrate and set equal to 1, its the actual integration that has confused me here.
    So as with the solutions i have integrated wrt x first, and obtained inside the x integral [x^(1-a)/1-a] ^inf _1 which is in line with the solutions.

    However the solutions then suggests that after subsitutuing in the limits of infinity and 1 that this becomes -1/(1-a)
    how is this the case? i mean, how does {infinity^(1-a)/1-a}-{1/1-a} become -1/(1-a), its almost as though the {infinity^(1-a)/1-a} part zeroises, but im not sure why this would be?

    Please can someone help?

    thanks
    molly
     
  2. Andrea Goude

    Andrea Goude ActEd Tutor Staff Member

    Hi Molly
    In Practice Question 4.9, you are correct the first part is zero, rewriting it as {1/(infinity^(a-1))*1/(1-a)}, may help to see it clearer.
    Hope this helps.
     
    Molly likes this.
  3. Molly

    Molly Ton up Member

    ah great thank you!!
     

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