?-Substitution essentially reverses the chain rule for derivatives. In other words, it helps us integrate composite functions. When finding antiderivatives, we are basically performing "reverse differentiation." Some cases are pretty straightforward.

When should I use U substitution?

U-Substitution is a technique we use when the integrand is a composite function. What's a composite function again? Well, the composition of functions is applying one function to the results of another.

How do you know when to use substitution in integration?

The substitution method (also called substitution) is used when an integral contains some function and its derivative. In this case, we can set equal to the function and rewrite the integral in terms of the new variable This makes the integral easier to solve.