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MATH& 152 Calculus II • 5 Cr.




Continues the study of integration, emphasizing applications and special techniques. Students work with algebraic and transcendental functions. Fulfills the quantitative or symbolic reasoning course requirement at BC. Recommended: MATH& 151.


After completing this class, students should be able to:

  • To calculate the Riemann sum for a given function, partition and collection of evaluation points
  • To describe a definite integral as
    • The limit of a Riemann sum
    • The area under a curve
    • The distance traveled by a moving object
    • A total accumulation
  • To determine the appropriate units for a definite integral
  • To describe the meaning of the antiderivative of a function
  • To determine the antiderivatives of
    • Polynomials
    • The trigonometric functions
    • The exponential and logarithmic functions
  • To determine the values of definite integrals using antiderivatives and areas
  • To approximate the numerical values of definite integrals
  • To state the Fundamental Theorem of Calculus
  • To apply the ideas of definite integrals to solve problems of
    • Areas
    • Volumes
    • Work
    • Centers of mass
    • Other assorted applications
  • To recognize separable differential equations and to use integration to solve separable initial value problems
  • To solve problems of exponential growth and decay and to understand the meanings and limitations of those solutions
  • To differentiate the inverse trigonometric functions and to use them with integrals
  • To describe the meaning of an improper integral and to evaluate some classes of improper integrals
  • To apply the techniques of integration by parts, substitution methods, and tables of antiderivatives to evaluate some classes of integrals



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Bellevue College
3000 Landerholm Circle SE Bellevue, WA 98007-6484 U.S.A.
Work: (425) 564-1000