Improper Integral – A rational function on an infinite interval – Exercise 6952

Exercise

Evaluate the integral

∫0∞1(1+x)3dx\int_{0}^{\infty} \frac{1}{{(1+x)}^3} dx

Final Answer


∫0∞1(1+x)3dx=12\int_{0}^{\infty} \frac{1}{{(1+x)}^3} dx=\frac{1}{2}

Solution

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