MATH 151: Calculus II

Test #1 Review topics

February 14, 2026

1. Review of Calculus I: functions and their properties; even and odd functions

2. Review of Calculus I: limits

3. Review of Calculus I: differentiation; chain rule; tangents to graphs of functions

4. Review of Calculus I: antiderivatives; definite integral; Riemann sums

5. Fundamental Theorem of Calculus; differentiation of the integral function

6. Integration by substitution

7. Integration by parts

8. Trigonometric integrals

9. Trigonometric substitutions

10. Integration with the use of partial fractions

11. Improper integrals of type 1

12. Improper integrals of type 2

13. Comparison test for improper integrals

14. Integrals as areas between curves

15. Computing volumes of solids by integrating cross-sectional areas

16. The disk/washer method of computing volumes of revolution

17. The cylindrical shells method of computing volumes of revolution

18. Parametric curves

19. Arc length of parametric curves