The Substitution Rule is a well-known technique in calculus, employed to convert complex integrals into forms that are simpler to deal with. This method involves substituting one variable for another, thereby simplifying the integral and making it more solvable. It's somewhat akin to the chain rule used in the process of differentiation.
| Topic | Problem | Solution |
|---|---|---|
| None | Evaluate the integral: \(\int (3x^2-2x+1)e^{x^3-x… | First, let's make a substitution. We set \(u = x^3 - x^2 + x\), then the differential of \(u\) is \… |