Math 161 Calculus I

Reading Outlines

You should answer these questions as you read the text.

Section 6.2

1. Why not just $\int$cos(x²) dx = sin(x²) + C?
2. What sorts of features make a function u(x) a good choice for substitution?
3. After choosing the u(x) you want to try, what do you do next?
4. If you are left with an x in your integral, how can you try to get rid of it?
5. Why do the limits in a definite integral need to change when you use substitution?
6. If u(x) is a quadratic function of x, what can you say about du?
7. Explain the different approaches in Examples 8 and 9 (page 409).