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3/-2. Enter Bi and exp (1) for a and the Euler number e. Rory remembers having read in a lecture slide that the integral 12

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3/-2. Enter Bi and exp (1) for a and the Euler number e. Rory remembers having read in a lecture slide that the integral 12 (14 - 7) I = dx (14 + 7)3/2(24 + 4x2 + 7) has the form u (I) I I = - 00 | - tan -1 1 4 u(I) . + C, 21 but Rory could not remember the function a nor how to compute the integral. Rory clearly needs your help. (a) First, you suggest that Rory perform the substitution y= = 12 + 7 which results in g(I) dy = 121/14 +7 where g( @ ) = (b) Hence, a careful evaluation of / leads to u(I) =

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