Chapter 1: Indefinite integrals

i1-1_antiderivatives_and_indefinite_integrals.pdf | |
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i1-2_terminology_and_notation_for_indefinite_integrals.pdf | |
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i1-3_basic_integration_formulae.pdf | |
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Chapter 2: Methods of integration

i2-1_integration_by_substitution.pdf | |
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i2-2_integration_by_parts_theory_aspects.pdf | |
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i2-3_integration_by_parts_with_two_visible_factors.pdf | |
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i2-4_integration_by_parts_with_a_single_visible_factor.pdf | |
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i2-5_integration_by_parts_with_cycling_steps.pdf | |
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i2-6_reduction_formulae_through_integration_by_parts.pdf | |
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i2-7_trigonometric_integrals_by_basic_methods.pdf | |
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i2-8_trigonometric_integrals_by_advanced_methods.pdf | |
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i2-9_integration_by_inverse_substitution_using_sine.pdf | |
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i2-10_integration_by_inverse_substitution_using_secant.pdf | |
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i2-11_integration_by_inverse_substitution_using_tangent.pdf | |
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i2-12_integration_by_inverse_substitution_using_hyperbolics.pdf | |
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i2-13_partial_fractions_preparation.pdf | |
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i2-14_partial_fractions_with_non_repeated_linear_factors.pdf | |
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i2-15_partial_fractions_with_non_repeated_quadratic_factors.pdf | |
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i2-16_partial_fractions_general_case.pdf | |
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Chapter 3: Basics of differential equations

i3-1_introduction_to_ode.pdf | |
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i3-2_exponential_models.pdf | |
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i3-3_separable_ode.pdf | |
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i3-4_special_separable_ode.pdf | |
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i3-5_linear_ode.pdf | |
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i3-6_euler_method.pdf | |
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Chapter 4: Definite integrals and the FTC

i4-1_the_area_problem.pdf | |
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i4-2_riemann_sums.pdf | |
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i4-3_special_types_of_riemann_sums.pdf | |
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i4-4_definite_riemann_integral.pdf | |
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i4-5_general_properties_of_definite_integrals.pdf | |
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i4-6_ftc_theoretical_version.pdf | |
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i4-7_ftc_practical_version.pdf | |
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i4-8_change_of_variables_and_the_ftc.pdf | |
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Chapter 5:Basic applications of integrals

i5-1_the_four_step_process_for_building_integrals.pdf | |
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i5-2_areas_between_curves.pdf | |
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i5-3_arc_length.pdf | |
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i5-4_areas_of_surfaces_of_revolution.pdf | |
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i5-5_volumes_by_slicing.pdf | |
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i5-6_volumes_by_disks_and_washers.pdf | |
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i5-7_volumes_by_shells.pdf | |
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i5-8_picking_the_right_method.pdf | |
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i5-9_geometric_quantities_for_parametric_curves.pdf | |
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i5-10_geometric_quantities_for_polar_curves.pdf | |
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i5-11_work_problems.pdf | |
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i5-12_fluid_force_problems.pdf | |
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Chapter 6: Improper and approximate integration

i6-1_improper_integrals.pdf | |
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i6-2_improper_integrals_with_one_issue_at_one_limit.pdf | |
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i6-3_improper_integrals_with_one_discontinuity_between_limits.pdf | |
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i6-4_improper_integrals_with_several_improper_features.pdf | |
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i6-5_approximate_integration_midpoint_method.pdf | |
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i6-6_approximate_integration_trapezoid_method.pdf | |
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i6-7_approximate_integration_simpson_method.pdf | |
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i6-8_comparing_approximate_integration_methods.pdf | |
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