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Evaluate ∫5∞1x2−xdx\int _ { 5} ^ { \infty } \frac { 1 } { x ^ { 2 } - x } d x

Question 43

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Evaluate ∫5∞1x2−xdx\int _ { 5} ^ { \infty } \frac { 1 } { x ^ { 2 } - x } d x . ( Hint: 1x2−x=1x−1−1x)\left( \text { Hint: } \frac { 1 } { x ^ { 2 } - x } = \frac { 1 } { x - 1 } - \frac { 1 } { x } \right)

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