Integral Calculus

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LESSONS & CONTENT

1
Basics of Integration

Basics of Integration

~15 min
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2
Definite Integrals

Definite Integrals

~15 min
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3
Indefinite Integrals

Indefinite Integrals

~15 min
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4
Integration by U-Substitution

Integration by U-Substitution

~15 min
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5
Integration by Parts

Integration by Parts

~15 min
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6
Integration by Partial Fractions

Integration by Partial Fractions

~15 min
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7
Integration by Trig-Substitution

Integration by Trig-Substitution

~15 min
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8
Integration of exponentials & Logarithms

Integration of exponentials & Logarithms

~15 min
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9
Application of Integration 1 (Area)

Application of Integration 1 (Area)

~15 min
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10
Application of Integration 2 (Volumes)

Application of Integration 2 (Volumes)

~15 min
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Course Content
MATHEMATICS
Set Theory
Further Complex Numbers
Functions -Polynomials, Radicals, Absolute Value, Rational etc (All)
Exponentials & Logarithmic Functions
Binomial Expansions - Pascals Triangle, Binomial Theorem
Trigonometry
Ineaqualities
Partial Fractions
LIMITS - Calculus
Differential Calculus
Integral Calculus
Basics of Integration
Definite Integrals
Indefinite Integrals
Integration by U-Substitution
Integration by Parts
Integration by Partial Fractions
Integration by Trig-Substitution
Integration of exponentials & Logarithms
Application of Integration 1 (Area)
Application of Integration 2 (Volumes)
Matrices Full and MSM112 Tutorial Sheet 2
Conic Sections - Analytic Geometry
Sampling & Treatment of Analytical Data