2022 Chp 6A Techniques of Integration BMQ (RVHS)

H2 Mathematics (9758) JC1 River Valley High School Mathematics Department, 2022 Ch 6A Integration Techniques (Solutions to Tutorial and Assignment) 1 Solutions to Tutorial 6A: Integration Techniques Basic Mastery Questions Part 1: Standard Integrals

H2 Mathematics (9758) JC1 River Valley High School Mathematics Department, 2022 Ch 6A Integration Techniques (Solutions to Tutorial and Assignment) 2 Part 2 Integration by Substitution Concept For part (c), note that upon completion of integration wrt , we have answer in terms of  cos,sin, . However, we should apply “right angled triangle” method to express them “back” in terms of x for the final answer.

H2 Mathematics (9758) JC1 River Valley High School Mathematics Department, 2022 Ch 6A Integration Techniques (Solutions to Tutorial and Assignment) 3 Part 3 Integration by Parts Concept For integrating by parts, we may use the code “LIATE” as a guide in determining the order of function to differentiate: L-Logarithmic, I-Inverse trigo, A-Algebraic, T-Trigo, E-Exponential