Vincent Carrier

Integral Calculus

201-SN3-RE

Summary of Differentiation

Chapter 1 : Antiderivatives

Concept of Antiderivative

Chapter 2 : The Area Problem

Archimedes and the Circle

Riemann Integral

Geometric Interpretation

Evaluation of Integrals

Properties of Integral

Diff. and Integration

Indefinite Integral

Basic Integration Formulas

Chatper 3 : Integration Techniques

Simple Substitutions

Integration by Part

Trigonometric Identities

Trig. Int. Sine Cosine

Trig. Int. Secant Tangent

Trigonometric Substitutions

Justification of Trig. Sub.

Area of Circle and Ellipse

Completing the Square

Partial Fractions

Rationalizing Substitutions

Integration Techniques

Chapter 4 : Applications

Chapter 5 : Sequences and Series

Exercise Sheets

Solutions of Evaluations

Test 1 : Solutions

Test 2 : Solutions

Test 3 : Solutions

Test 4 : Solutions

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