Preparing for Calculus II after completing Calculus I requires a solid understanding of integration techniques, particularly u-substitution and integration by parts. Key resources include the tutorial site at tutorial.math.lamar.edu, which offers comprehensive guidance on these topics. A recommended book, available for a low price, contains essential derivatives and integrals, as well as important theorems related to shells and cylinders. Mastery of trigonometric identities, especially half-angle formulas, and skills like completing the square are crucial. Additionally, familiarity with parametric and polar equations, sequences and series, and integrals involving partial fractions and trigonometric substitutions is advised. While the material itself may not be overly complex, many integrals may require creative algebraic and trigonometric manipulation, making prior knowledge essential for success in Calculus II.