Chapter 1: Indefinite integrals
| i1-1_antiderivatives_and_indefinite_integrals.pdf |
| i1-2_terminology_and_notation_for_indefinite_integrals.pdf |
| i1-3_basic_integration_formulae.pdf |
Chapter 2: Methods of integration
| i2-1_integration_by_substitution.pdf |
| i2-2_integration_by_parts_theory_aspects.pdf |
| i2-3_integration_by_parts_with_two_visible_factors.pdf |
| i2-4_integration_by_parts_with_a_single_visible_factor.pdf |
| i2-5_integration_by_parts_with_cycling_steps.pdf |
| i2-6_reduction_formulae_through_integration_by_parts.pdf |
| i2-7_trigonometric_integrals_by_basic_methods.pdf |
| i2-8_trigonometric_integrals_by_advanced_methods.pdf |
| i2-9_integration_by_inverse_substitution_using_sine.pdf |
| i2-10_integration_by_inverse_substitution_using_secant.pdf |
| i2-11_integration_by_inverse_substitution_using_tangent.pdf |
| i2-12_integration_by_inverse_substitution_using_hyperbolics.pdf |
| i2-13_partial_fractions_preparation.pdf |
| i2-14_partial_fractions_with_non_repeated_linear_factors.pdf |
| i2-15_partial_fractions_with_non_repeated_quadratic_factors.pdf |
| i2-16_partial_fractions_general_case.pdf |
Chapter 3: Basics of differential equations
| i3-1_introduction_to_ode.pdf |
| i3-2_exponential_models.pdf |
| i3-3_separable_ode.pdf |
| i3-4_special_separable_ode.pdf |
| i3-5_linear_ode.pdf |
| i3-6_euler_method.pdf |
Chapter 4: Definite integrals and the FTC
| i4-1_the_area_problem.pdf |
| i4-2_riemann_sums.pdf |
| i4-3_special_types_of_riemann_sums.pdf |
| i4-4_definite_riemann_integral.pdf |
| i4-5_general_properties_of_definite_integrals.pdf |
| i4-6_ftc_theoretical_version.pdf |
| i4-7_ftc_practical_version.pdf |
| i4-8_change_of_variables_and_the_ftc.pdf |
Chapter 5:Basic applications of integrals
| i5-1_the_four_step_process_for_building_integrals.pdf |
| i5-2_areas_between_curves.pdf |
| i5-3_arc_length.pdf |
| i5-4_areas_of_surfaces_of_revolution.pdf |
| i5-5_volumes_by_slicing.pdf |
| i5-6_volumes_by_disks_and_washers.pdf |
| i5-7_volumes_by_shells.pdf |
| i5-8_picking_the_right_method.pdf |
| i5-9_geometric_quantities_for_parametric_curves.pdf |
| i5-10_geometric_quantities_for_polar_curves.pdf |
| i5-11_work_problems.pdf |
| i5-12_fluid_force_problems.pdf |
Chapter 6: Improper and approximate integration
| i6-1_improper_integrals.pdf |
| i6-2_improper_integrals_with_one_issue_at_one_limit.pdf |
| i6-3_improper_integrals_with_one_discontinuity_between_limits.pdf |
| i6-4_improper_integrals_with_several_improper_features.pdf |
| i6-5_approximate_integration_midpoint_method.pdf |
| i6-6_approximate_integration_trapezoid_method.pdf |
| i6-7_approximate_integration_simpson_method.pdf |
| i6-8_comparing_approximate_integration_methods.pdf |
