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How to evaluate this Integral using Beta and Gamma Functions

Tags: Integral

Published June 19, 2025, 8:09 a.m. by james

Introduction

We are given the definite integral:

  $$I=\int_0^1 \frac{\sqrt{x}}{\sqrt{1+x^2} + \sqrt{1-x^2}} \, dx$$

This document details the step-by-step …