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Finding the Area Between Two Curves (Part 1) | Calculus II | MTH5102_Topic026
MTH5102 — Calculus II
Other Lectures
Introduction: What this Course is About? | Calculus II | MTH5102_Topic001Explain Sigma Notation and its Properties | Calculus II | MTH5102_Topic002Rule, Sums and Powers of Integers | Calculus II | MTH5102_Topic003Approximating the Area Under a Curve | Calculus II | MTH5102_Topic004Define Riemann Sums | Calculus II | MTH5102_Topic005Define Definite Integral | Calculus II | MTH5102_Topic006Geometric Formulas to Calculate Definite Integrals | Calculus II | MTH5102_Topic007Net Signed Area | Calculus II | MTH5102_Topic008Finding the Total Area | Calculus II | MTH5102_Topic009Properties of the Definite Integral | Calculus II | MTH5102_Topic010The Mean Value Theorem for Definite Integrals | Calculus II | MTH5102_Topic011Fundamental Theorem of Calculus: FTC - (Part-1) | Calculus II | MTH5102_Topic012Example of FTC - (Part-1) | Calculus II | MTH5102_Topic013Fundamental Theorem of Calculus: FTC - (Part-2) | Calculus II | MTH5102_Topic014Application of FTC | Calculus II | MTH5102_Topic015Substitution with Indefinite Integrals: Part-1 | Calculus II | MTH5102_Topic016Substitution with Indefinite Integrals: Part-2 | Calculus II | MTH5102_Topic017Substitution for Definite Integrals | Calculus II | MTH5102_Topic018Integrals of Exponential Functions (Part 1) | Calculus II | MTH5102_Topic019Integrals of Exponential Functions (Part 2) | Calculus II | MTH5102_Topic020Real-Life Applications | Calculus II | MTH5102_Topic021Integrals Involving Logarithmic Functions | Calculus II | MTH5102_Topic022Finding Antiderivative Involving an Inverse Trigonometric Function | Calculus II | MTH5102_Topic023Evaluating a Definite Integral Using Inverse Trigonometric Functions |Calculus II | MTH5102_Topic024Finding an Antiderivative Involving the Inverse Tangent Function | Calculus II | MTH5102_Topic025Finding the Area Between Two Curves (Part 2) | Calculus II | MTH5102_Topic027Finding the Area Between Two Curves Integrating Along the Y-Exis | Calculus II | MTH5102_Topic028Finding Volumes by the Slicing Method | Calculus II | MTH5102_Topic029Deriving the Formula for the Volume of a Pyramid | Calculus II | MTH5102_Topic030Using Slicing Method to Find the Volume of a Solid of Revolution | Calculus II | MTH5102_Topic031The Disk Method | Calculus 2 | MTH5102_Topic032The Disk Method Around Y-Axis | Calculus II | MTH5102_Topic033The Washer Method | Calculus II | MTH5102_Topic034The Washer Method Around Y-Axis | Calculus II | MTH5102_Topic035Application; Design Water Tank Volumes | Calculus II | MTH5102_Topic036The Method of Cylindrical Shells | Calculus II | MTH5102_Topic037The Method of Cylindrical Shells Around Y-Axis and A Line | Calculus II | MTH5102_Topic038Which Method Should We Use? | Calculus II | MTH5102_Topic039ARC Length of the Curve | Calculus II | MTH5102_Topic040Arc Length of the Curve, X=G(Y) | Calculus II | MTH5102_Topic041Surface Area of a Surface of Revolution | Calculus II | MTH5102_Topic042Mass-Density Formula of a One-Dimensional Object (Linear Case) | Calculus II | MTH5102_Topic043Work Done by a Force - (1) | Calculus II | MTH5102_Topic044Work Done by a Force - (2) | Calculus II | MTH5102_Topic045Center of Mass of Objects on a Line | Calculus II | MTH5102_Topic046Center of Mass of Objects in a Plane | Calculus II | MTH5102_Topic047Center of Mass of a Thin Plate (Part 1) | Calculus II | MTH5102_Topic048Center of Mass of a Thin Plate (Part 2) | Calculus II | MTH5102_Topic049Center of Mass of a Lamina Bounded by Two Functions (Part 1) | Calculus II | MTH5102_Topic050Center of Mass of a Lamina Bounded by Two Functions (Part 2) | Calculus II | MTH5102_Topic051The Natural Logarithm as an Integral (Part 1) | Calculus II | MTH5102_Topic052The Natural Logarithm as an Integral (Part 2) | Calculus II | MTH5102_Topic053Properties of the Natural Logarithm | Calculus II | MTH5102_Topic054The Exponential Function | Calculus II | MTH5102_Topic055Properties of the Exponential Function | Calculus II | MTH5102_Topic056General Logarithmic and Exponential Functions (Part 1) | Calculus II | MTH5102_Topic057General Logarithmic and Exponential Functions (Part 2) | Calculus II | MTH5102_Topic058Exponential Growth Model (Part 1) | Calculus II | MTH5102_Topic059Exponential Growth Model (Part 2) | Calculus II | MTH5102_Topic060Exponential Growth Model (Part 3) | Calculus II | MTH5102_Topic061Exponential Decay Model (Part 1) | Calculus II | MTH5102_Topic062Exponential Decay Model (Part 2) | Calculus II | MTH5102_Topic063Derivatives and Integrals of the Hyperbolic Functions | Calculus II | MTH5102_Topic064Integrals Involving Hyperbolic Functions | Calculus II | MTH5102_Topic065Differentiating Inverse Hyperbolic Functions | Calculus II | MTH5102_Topic066Integrals Involving Inverse Hyperbolic Functions | Calculus II | MTH5102_Topic067Using a Catenary to Find the Length of a Cable | Calculus II | MTH5102_Topic068Deriving the Integration by Parts Formula | Calculus II | MTH5102_Topic069Using Integration by Parts - (1) | Calculus II | MTH5102_Topic070Using Integration by Parts - (2) | Calculus II | MTH5102_Topic071Integration by Parts for Definite Integrals (Part 1) | Calculus II | MTH5102_Topic072Integration by Parts for Definite Integrals | Calculus II | MTH5102_Topic073Integrating Products and Powers of sinx and cosx | Calculus II | MTH5102_Topic074Integrating Even Powers of Sine and Cosine Using Power Reducing Identities | MTH5102_Topic075Integrating Products and Powers of sinx and cosx, (Part 1) | Calculus II | MTH5102_Topic076Integrating Products and Powers of tanx and secx, (Part 1) | Calculus II | MTH5102_Topic077Integrating Products and Powers of sinx and cosx, (Part 2) | Calculus II | MTH5102_Topic078Integrating Products and Powers of tanx and secx, (Part 2) | Calculus II | MTH5102_Topic079Reduction Formulas | Calculus II | MTH5102_Topic080Trigonometric Substitution for Radical Integrals | Calculus II | MTH5102_Topic081Returning to x-Form After Trigonometric Substitution | Calculus II | MTH5102_Topic082Integrating Expressions Involving (a+x) | Calculus II | MTH5102_Topic083Integrating Expressions Involving (x-a) | Calculus II | MTH5102_Topic084Methods of Partial Fractions | Calculus II | MTH5102_Topic085No Repeated Linear Factor | Calculus II | MTH5102_Topic086Repeated Linear Factor | Calculus II | MTH5102_Topic087Integrating Rational Functions with Irreducible Quadratic Factors | Calculus II | MTH5102_Topic088Simple Quadratic Factors | Calculus II | MTH5102_Topic089Numerical Integration and Error Estimation - The Midpoint Rule | Calculus II | MTH5102_Topic090The Trapezoidal Rule | Calculus II | MTH5102_Topic091The Trapezoidal Rule: Examples | Calculus II | MTH5102_Topic092Absolute and Relative Error | Calculus II | MTH5102_Topic093Error Bounds for the Midpoint and Trapezoidal Rules | Calculus II | MTH5102_Topic094Simpson's Rule | Calculus II | MTH5102_Topic095Simpson's Rule: Examples | Calculus II | MTH5102_Topic096Integrating Over an Infinite Interval | Calculus II | MTH5102_Topic097Integrating Over An Infinite Interval: Examples | Calculus II | MTH5102_Topic098Integrating Over an Infinite Interval Examples | Calculus II | MTH5102_Topic099Integrating Discontinuous Integrand | Calculus II | MTH5102_Topic100Integrating Over and Indefinite Interval: Examples | Calculus II | MTH5102_Topic101Fundamental Terminology of Sequences | Calculus II | MTH5102_Topic102Types of Sequences: Arithmetic and Geometric Sequences | Calculus II | MTH5102_Topic103Limit of a Sequence | Calculus II | MTH5102_Topic104Determining Convergence & Finding Limits | Calculus II | MTH5102_Topic105Squeeze Theorem for Sequences | Calculus II | MTH5102_Topic106Bounded Sequences | Calculus II | MTH5102_Topic107Sums and Series | Calculus II | MTH5102_Topic108Evaluating Limits of Sequences of Partial Sums | Calculus II | MTH5102_Topic109The Harmonic Series and its Convergence | Calculus II | MTH5102_Topic110Algebraic Properties of Convergent Series | Calculus II | MTH5102_Topic111Geometric Series | Calculus II | MTH5102_Topic112Determining Convergence or Divergence of a Geometric Series | Calculus II | MTH5102_Topic113Using the Divergence Test | Calculus II | MTH5102_Topic114Integral Test | Calculus II | MTH5102_Topic115Using the Integral Test | Calculus II | MTH5102_Topic116The p-Series and its Convergence | Calculus II | MTH5102_Topic117Comparison Test | Calculus II | MTH5102_Topic118Limit Comparison Test (Part 1) | Calculus II | MTH5102_Topic119Limit Comparison Test (Part 2) | Calculus II | MTH5102_Topic120The Alternating Series and Convergence | Calculus II | MTH5102_Topic121The Alternating Series and Convergence | Calculus II | MTH5102_Topic122Absolute and Conditional Convergence | Calculus II | MTH5102_Topic123Difference Between Absolute and Conditional Convergence | MTH5102 Calculus II | MTH5102_Topic124The Ratio Test | MTH5102 Calculus II | MTH5102_Topic125The Root Test | MTH5102 Calculus II | MTH5102_Topic126How to Choose the Right Convergence Test? | MTH5102 Calculus II | MTH5102_Topic127Introduction to Power Series | MTH5102 Calculus II | MTH5102_Topic128Convergence of a Power Series | MTH5102 Calculus II | MTH5102_Topic129Convergence of a Power Series Examples | MTH5102 Calculus II | MTH5102_Topic130Representing Functions Using Power Series (Part 1) | MTH5102 Calculus II | MTH5102_Topic131Representing Functions as Power Series | Calculus II | MTH5102_Topic132Differentiating and Integrating Power Series | MTH5102 Calculus II | MTH5102_Topic133Differentiating and Integrating Power Series Examples (1) | MTH5102 Calculus II | MTH5102_Topic134Differentiating and Integrating Power Series Examples (2) | MTH5102 Calculus II | MTH5102_Topic135The Lottery Problem | MTH5102 Calculus II | MTH5102_Topic136Taylor and Maclaurin Series | MTH5102 Calculus II | MTH5102_Topic137Examples of Taylor Series | Calculus II | MTH5102_Topic138Understanding Taylor and Maclaurin Polynomials | MTH5102 Calculus II | MTH5102_Topic139Finding Maclaurin Polynomials, Examples | MTH5102 Calculus II | MTH5102_Topic140Understanding Taylor's Theorem and the Remainder Term | MTH5102 Calculus II | MTH5102_Topic141Estimate Function Values | MTH5102 Calculus II | MTH5102_Topic142Understanding When Taylor Series Converges to its Function | MTH5102 Calculus II | MTH5102_Topic143Understanding Parametric Equations | MTH5102 Calculus II | MTH5102_Topic144Graphing a Parametrically Defined Curve, Examples | MTH5102 Calculus II | MTH5102_Topic145Parameterizing a Curve, Examples | MTH5102 Calculus II | MTH5102_Topic146Derivatives of Parametric Equations | MTH5102 Calculus II | MTH5102_Topic147Finding Slopes and Tangent Lines for Parametric Curves | MTH5102 Calculus II | MTH5102_Topic148Second-Order Derivatives of Parametric Curves | MTH5102 Calculus II | MTH5102_Topic149Area Under a Curve Defined by Parametric Equations | MTH5102 Calculus II | MTH5102_Topic150Finding the Area Under a Parametric Curve | Calculus II | MTH5102_Topic151Arc Length of a Parametric Curve | Calculus II | MTH5102_Topic152Finding the Arc Length of a Parametric Curve | Calculus II | MTH5102_Topic153Understanding Polar Coordinates | Calculus II | MTH5102_Topic154Converting Between Rectangular and Polar Coordinates | Calculus II | MTH5102_Topic155Plotting Points in the Polar Plane | Calculus II | MTH5102_Topic156Polar Curves | Calculus II | MTH5102_Topic157Area of a Region Bounded by a Polar Curve | Calculus II | MTH5102_Topic158Finding the Area Between Two Polar Curves | Calculus II | MTH5102_Topic159Arc Length in Polar Curves | Calculus II | MTH5102_Topic160Finding Arc Length of a Polar Curve | Calculus II | MTH5102_Topic161Introduction to Conic Section | Calculus II | MTH5102_Topic162Definition and Equation of Parabolas | Calculus II | MTH5102_Topic163Standard and General Forms of a Parabola | Calculus II | MTH5102_Topic164Standard and General Forms of a Parabola: Examples | Calculus II | MTH5102_Topic165Understanding Ellipses | Calculus II | MTH5102_Topic166Finding the Standard from of an Ellipse | Calculus II | MTH5102_Topic167Application of Ellipses | Calculus II | MTH5102_Topic168Equation of a Hyperbolas in Standard Form | Calculus II | MTH5102_Topic169Finding the Standard Form of a Hyperbola | Calculus II | MTH5102_Topic170Eccentricity and Directrix | Calculus II | MTH5102_Topic171Determining Eccentricity of a Conic Section | Calculus II | MTH5102_Topic172Polar Equations of Conic Sections | Calculus II | MTH5102_Topic173Identifying a Conic Section in Polar Coordinates | Calculus II | MTH5102_Topic174General Second-Degree Equations and Rotated Conic Sections | Calculus II | MTH5102_Topic175Identifying Rotated Conic | Calculus II | MTH5102_Topic176