Earn these career-relevant skills in weeks, not years.
- Estimate the area under a curve with finite sums.
- Estimate the area under a curve with geometric formulas for area.
- Interpret sigma notation and associated algebra rules.
- Perform Riemann sums over given intervals.
- Calculate definite integrals.
- Calculate area under a curve.
- Apply to physics and other fields.
- Describe the relationship between derivatives and integrals (Fundamental Theorem of Calculus).
- Solve indefinite integrals.
- Use substitution to evaluate definite integrals.
- Use definite integrals to find the area between two curves.
- 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.
- Differentiate inverse functions.
- Differentiate logarithmic functions and exponential functions.
- Review Logarithmic Differentiation.
- Integrate logarithmic functions and exponential functions.
- Solve separable differential equations involving exponential change.
- Use L’Hopital’s rule to differentiate indeterminant rational functions.
- Differentiate inverse trigonometric functions and functions.
- Integrate inverse trigonometric functions.
- Solve exponential rates of growth problems.
- Evaluate integrals using integration by parts.
- Integrate trigonometric functions.
- Integrate using substitution with rational and trigonometric functions.
- Solve differential equations with Integration by parts in the solution, as well as first-order linear with constant coefficients.
- Use partial fractions to simplify integration of rational functions.
- Use integral tables to evaluate integrals.
- Estimate integrals with the Trapezoidal rule and Simpson’s rule.
- Solve improper integrals.
Calculus II Concept Review
- Apply the concepts presented in this course.
