INTEGRALS

Integration as Inverse Process of Differentiation List of all the results immediately follows from knowledge of differentiation.Geometrical Interpretation of indefinite integral, mentioning elementary properties  and problems
Methods of Integration Integration by substitution, examples. Integration using trigonometric identities,  examples
Integration by  Partial Fractions Problems related to reducible factors in denominators only.
Integrals of Some Particular Functions   Evaluation of integrals of and problems
Problems on Integrals of Functions Like  
Integration  by Parts Problems, Intigrals of type and related simple problems.
Evaluation of Integrals of some more types like and problems
Definite Integrals   Definite Integral  as a limit of a sum to evaluate integrals of the form
Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.