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

Coming soon…

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