Question

For Calculus II, what are the main parts of integration must you have memorized before entering on the first day?

I understand that you must memorize the basic polynomials. With Calc 1, knowing my trig helped tremendously especially when we entered related rates.

At the moment I have most rules for derivatives of basic functions, trig, logs, exponentials, etc. I don't have sinh, cosh, ... functions though.

Answer 1

`u`-substitutions, antiderivatives of all the basic functions.

Explanation:

From what I can recall from earlier this semester, we were expected to be 100% proficient in `u`-substitution as far as integration methods go.

Beyond that, all of the elementary antidifferentiation rules for polynomials/powers, integration of `1/x`, all trigonometric functions (all of them either have an elementary antiderivative or can be solved with a substitution), `inta^xdx=a^x/ln(a)+C`, `int1/(xln(a))=log_a|x|+C`.

We didn't need any knowledge of the hyperbolic trigonometric functions and their respective differentiation and integration rules, we were to learn that in the course.