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Improper Integral – A multiplication of functions on an infinite interval – Exercise 6976

Exercise

Evaluate the integral

\int_{1}^{\infty} [(1+\frac{1}{x^3})(2-\frac{4}{x^2})-2]dx

Final Answer


\int_{1}^{\infty} [(1+\frac{1}{x^3})(2-\frac{4}{x^2})-2]dx=-4

Solution

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