mth290 | undergraduate
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Integration and Application of Integrals
- Use substitution to evaluate definite integrals.
- Use definite integrals to find the area between two curves.
- Describe the relationship between derivatives and integrals (Fundamental Theorem of Calculus).
- Solve indefinite integrals.
- Use integral calculus to determine volumes, lengths of plane curves, and surface areas.
- Integrate to find work and fluid forces.
- Calculate moments and centers of mass using integration.
- Use L’Hopital’s rule to differentiate indeterminant rational functions.
- Integrate inverse trigonometric functions and hyperbolic functions.
- Solve exponential rates of growth problems.
- Differentiate inverse trigonometric functions and hyperbolic functions.
Graphing and Applications
- Simplify an integration problem using integration by parts.
- Apply product, quotient, and chain rules to compute integrals of various functions.
- Integrate trigonometric functions.
- Integrate using substitution with rational and trigonometric functions.
Calculus II Concept Review
- Apply the concepts presented in this course.
- Use partial fractions to simplify integration of rational functions.
- Estimate integrals with the Trapezoidal rule and Simpson’s rule.
- Solve improper integrals.
- Use integral tables to solve problems.
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