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Further applications of integrals

Course Material

Week 1: Introduction to techniques of Integration including basic formulas of derivation and integration.
Week 2: Integration of trigonometric functions, inverse trigonometric functions, hyperbolic functions.
Week 3: Integration by substitution of trigonometric functions, algebraic functions
Week 4: Integration of rational functions by partial fractions.
Week 5: Techniques to solve improper integrals.
Week 6: Approximate integration, area under the curves.
Week 7: Further applications of definite and indefinite integrals.
Week 8: Calculating inverse of a function. Definite and Indefinite Integrals.
Week 9: Mid Term Exams.
Week 10: Area of surface of revolution.
Week 11: Area of surface of revolution.
Week 12: Calculating arc length.
Week 13: Volumes of Surfaces.
Week 14: Further applications of integrals
Week 15: Work.
Week 16: Average value of a function.
Week 17: Area under the curves. Revision
Week 18: Final Term Exam.

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