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Decide Whether Integration by Parts or Substitution Should Be Used \int

Question 129

Multiple Choice

Decide whether integration by parts or substitution should be used to compute the indefinite integral \int e1/xx2\frac { - \mathrm { e } ^ { 1 / \mathrm { x } } } { \mathrm { x } ^ { 2 } } dx If substitution, indicate the value of u; if by parts, indicate f(x) and g(x) .


A) substitution; u = x2x ^ { - 2 }
B) integration by parts; f(x) =- 1x2\frac { 1 } { x ^ { 2 } } , g(x) = e1/xe ^ { 1 / x }
C) integration by parts; f(x) = - e1/xe ^ { 1 / x } , g(x) = 1x2\frac { 1 } { x ^ { 2 } }
D) substitution; u = 1x\frac { 1 } { x }
E) none of these
Evaluate the integral.

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