








Theory 
Methods 
Applications 






The Meaning of Integration 
Improper Integrals and Convergence and Divergence 
TimeBased Integration 






Definite vs. Indefinite Integrals and the Fundamental Theorem of Calculus 
Substitution 
Volumes of Revolutions (Washer Method) 






Integration with Multiple Functions 
Integration by Parts 
Volumes of Revolutions (Cylindrical Shell Method) 







Integration by Parts extra trick 
Volumes of Revolution (Theorem of Pappas) 







Integration by Partial Fractions 
Length of OneDimensional Curves 







Integration by Partial Fractions using a Double Root 
Areas of Revolution 







Integration by Partial Fractions with an Order Greater than One 
Moments and Centers of Mass Part I 







Integration by Partial Fractions extra trick 
Moments and Centers of Mass Part II 







Trigonometric Conversions 
Force and Work 