
Section 6.5: Review of integration, average value of a function 

Section 8.7: Numerical integration, trapezoidal rule,
Simpson's rule, error estimates 

Section 6.1: Areas between curves 

Section 6.2: Volumes 

Section 6.3: Volumes by cylindrical shells 

Section 6.4: Work 

Section 7.1: Inverse functions 

Section 7.24: Exponential and logarithmic functions 

Section 10.4: Exponential growth and decay 

Section 7.56: Inverse trigonometric functions; hyperbolic
functions 

Section 7.7: Indeterminate forms 

Section 8.1: Integration by parts 

Section 12.12: Taylor's theorem with remainder 

Section 8.23: Trigonometric integrals; trigonometric
substitution 

Section 8.4: Partial fractions 

Section 8.8: Improper integrals 

Section 9.12: Arc length, area of surface of revolution 

Section 10.12: Differential equations, direction fields 

Section 10.3: Separable DE's, homogeneous DE's 

Section 10.6: Firstorder linear DE's 