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MAT 211 Integral Calculus

NCE2 levelSciences7 topics

MAT 211 covers 7 topics. StudyPath paces them into daily study sessions that finish before your exam date, with practice questions and worked answers for each one.

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Course outline

The topics this course covers, in teaching order.

  1. Integration as a reverse process of differentiation
  2. Integration as area under the curve
  3. Integration of algebraic functions using different methods, like partial fractions,
  4. Integration of non-algebraic functions e.g. logarithmic functions, exponential functions,
  5. Special methods of integrations; substitution and transformation, the reduction formula
  6. Integration by parts. Approximate integration by Trapezoidal rule and Simpson’s Rule
  7. Application of integration in determining volumes of solids of revolution and solution to

A sample from this course

One topic, as StudyPath teaches it.

Integration as a reverse process of differentiation

Integration as a reverse process of differentiation means finding a function whose derivative is the given expression. For this topic, you must master the idea of antiderivatives, the constant of integration, and how basic differentiation rules are reversed, because exam questions often test whether you can move correctly from a derivative back to the original family of functions.

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