7.1 Integration by Substitution

Question 1

What is integration by substitution?

Answer 1

A method used to simplify the integration process by changing the integration variable to make the integral easier to solve.

Question 2

What is the general idea behind substitution?

Answer 2

A complicated part of the integrand is replaced with a new variable (u), in order to simplify the integral into an easier form.

Question 3

What are the steps of substitution?

Answer 3

1. Choose a part of the function to substitute as u
2. find du
3. substitution parts of the function in terms of u
4. differentiate the function
5. substitution u values back into the equation