**1 What you don't have to memorize**

Reduction formulas:

Half-angle formulas, double-angle formulas, and sum/difference formulas

for sin, cos, etc.

Integrals of tanθ, cotθ, secθ, and cscθ.

The trapezoidal and Simpson's rule for approximate integration.

Error estimates for approximate integration.

**2 What you have to memorize**

Anything not explicitly on the‘don't have to memorize' list.

sin^{2}θ + cos^{2}θ = 1

1 + tan^{2}θ = sec^{2}θ

Derivatives of sinθ , cosθ , tanθ , cotθ , secθ , and cscθ .

Integrals of sinθ and cosθ .

Both version of the Fundamental Theorem of Calculus.

Both version of the chain rule:

Substitution in integrals.

Integration by parts.

Trigonometric integrals.

Trigonometric substitution.

Partial fraction expansion.

Long division.

The Left-hand, Right-hand, and midpoint rules for approximate integra-

tion.

How to evaluate both types of improper integrals using limits.

rule

How to find the area bounded by two (or more) curves.

How to find the volume of solids of revolution (shells, disks, washers).

How to find the volume of solids by slicing.