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

Exercise

Evaluate the integral

∫1∞(1x3−1x4)xxdx\int_{1}^{\infty} (\frac{1}{x^3}-\frac{1}{x^4})\sqrt{x\sqrt{x}} dx

Final Answer


∫1∞(1x3−1x4)xxdx=1645\int_{1}^{\infty} (\frac{1}{x^3}-\frac{1}{x^4})\sqrt{x\sqrt{x}} dx=\frac{16}{45}

Solution

Coming soon…

Share with Friends

Leave a Reply