Integral Calculus

Thomas, G.B. and Finney, R.L., Calculus and Analytic Geometry, Pearson Education (2007), 9th ed.

Integration as the inverse process of differentiation

Definite integrals and their properties

Fundamental theorem of calculus

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Double and triple integrals

Lecture 32 (Multiple integral over a rectangular region)

Lecture 33 (Double integral over non rectangular regions)

Change of order of integration

Calculating surface areas and volumes using double integrals

Calculating volumes using triple integrals

Lecture 34 (Change of order of integration)

Lecture 36 (Polar coordinates)

Lecture 37 (Graphing in polar coordinates)

Lecture 38 (Plotting in Polar Coordinates)

Tutorial 11

Lecture 39 (Double integrals in polar coordinates)

Tutorial 12