The U-Substitution Method

In what follows…

We will be discussing how one can “undo” the chain rule, allowing us to antiderive functions like \(f(x)=2x(x^2+1)^9\), or \(g(x)=x^2\cdot \sqrt{x^3-5}\), where we have the derivative of the “inside function” more or less multiplied on the outside.