التفاضل والتكامل 2 - UQU

1 Integration: antiderivatives, the definite integral, the first and second fundamental theorem of calculus and the method of substitution, the mean value theorem for integrals and the use of symmetry 2 Transcendental functions: natural logarithm, inverse functions and their derivatives, natural exponent function, general exponent and logarithm functions, inverse trigonometric functions and their derivatives, and hyperbolic functions and their inverses 3 Techniques of integration: basic integration rules, integration by parts, some trigonometric integrals, rationalizing substitutions, integration by parts, and integration of rational functions using partial functions 4 Indeterminate forms: type 0/0, other forms, L'Hôpital's rule, improper integrals: infinite limits of integrals, and infinite integrals 5 Applications of the definite integral: areas of plane region, volumes of solids, volume of solids of revolution, and length of plane curve