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Improper Integral – A functions multiplication with roots on an infinite interval – Exercise 6991

Exercise

Evaluate the integral

\int_{1}^{\infty} (\frac{1}{x^3}-\frac{1}{x^4})\sqrt{x\sqrt{x}} dx

Final Answer


\int_{1}^{\infty} (\frac{1}{x^3}-\frac{1}{x^4})\sqrt{x\sqrt{x}} dx=\frac{16}{45}

Solution

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