Evaluating an integral twice using 2 UNEXPECTED u-substitutions!

The method of u-substitution is useful for finding antiderivatives (integrals, indefinite integrals) in Calculus. However, u-substitution can be applied to far more integrals than most students believe. In fact, you can rewrite ANY integral using u-substitution by letting u equal ANYTHING AT ALL. The game then becomes isolating the differential dx from your new differential du, and finding a way to rewrite the expression that remains in terms of u. This video shows how to apply 2 DIFFERENT u-substitutions to an integral that would befuddle even your teacher. It is an integral that more obviously calls for the technique of trigonometric substitution, but which is much more easily handled with u-substitution. This video has several companion videos that show how to find the antiderivative of x^3/sqrt(4+x^2) in a variety of ways. Please view them all, and be ready to amaze your teacher with the skills that you'll develop! Please take time to view the associated videos after viewing this one: Evaluating an integral with an UNEXPECTED u-substitution (method 2): https://youtu.be/WnDfdoFIRmI Evaluating an integral with an UNEXPECTED u-substitution (method 1): https://youtu.be/qpN1A1tdzds Click Here to visit the Greatest Math Channel On Earth: https://www.youtube.com/@theMathSinger Follow MathSinger on Twitter: @theMathSinger Email: [email protected]