Integration by Substitution. Undoing the Chain Rule TS: Making Decisions After Reflection & Review. Objective. To evaluate integrals using the technique of integration by substitution. Warm Up. What is a synonym for the term integration?. Antidifferentation. What is integration?.
Undoing the Chain Rule
TS: Making Decisions After Reflection & Review
What is a synonym for the term integration?
What is integration?
Integration is a process or operation that reverses differentiation.
The operation of integration determines the
original function when given its derivative.
You have already found a function whose derivative is the expression
in the integrand, so you already have an antiderivative.
Some integrals are chain rule problems in reverse.
If the derivative of the inside function is sitting elsewhere
in the integrand, then you can use a technique called
integration by substitution to evaluate the integral.
Always express your
answer in terms of the