Evaluate the integral using beta and gamma functions.

Question

Evaluate the integral $\int_{0}^{4}\frac{dx}{\sqrt{4x-x^{2}$ using beta and gamma functions.

08 Sep 2023

Answer :

Word Count : 285

To evaluate the integral $\int_{0}^{4}\frac{dx}{\sqrt{4x-x^{2}}}$ using the beta and gamma functions, we can start by completing the square in the denominator to simplify the integrand. Once we have a simplified expression, we can use the beta function to find the integral.

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