Improper Integral – Functions difference to the power of 2 on an infinite interval – Exercise 6985

Exercise

Evaluate the integral

1(11x)2dx\int_{1}^{\infty} {(1-\frac{1}{x})}^2 dx

Final Answer


1(11x)2dx=\int_{1}^{\infty} {(1-\frac{1}{x})}^2 dx=\infty

Solution

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