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31 October, 15:17

Evaluate the following definite integral.

10

∫ 13y / y^2-9y-22. dy

-1

+3
Answers (1)
  1. 31 October, 15:38
    0
    33.1698

    Step-by-step explanation:

    10

    ∫ 13y / y^2-9y-22. dy

    -1

    Let's break down the fraction first before we integrate

    13y / y^2-9y-22

    = 13y / (y-11) (y+2)

    =11 / (y-11) + 2 / (y+2)

    Time to Integrate.

    10

    ∫ 13y / y^2-9y-22. dy

    -1

    =∫ 11 / (y-11) dy + ∫ 2 / (y+2) Dy

    = 11In (y-11) + 2 In (y+2)

    When y = 10

    = 11In (10-11) + 2In (10+2)

    = 11In1 + 2In12

    = 4.9698

    When y = - 2

    = 11In (y-11) + 2 In (y+2)

    = 11In (-2-11) + 2In (-2+2)

    = - 28.2

    4.9698+28.2 = 33.1698
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