Trigonometric Integrals Powers of Secant and Tangent sec^4(2x)tan^4(2x)

Integration with u-substitution the Integral of 9x^2/sqrt(x^3 + 7)

Principle of Mathematical Induction (ab)^n = a^n*b^n Proof

Principle of Mathematical Induction The Sum of the First n Integers Proof

Inverse of a 2x2 Matrix Example

Solving a System of Equations with a Matrix Equation

Proof that the identity element of a group is unique

Proof that inverses in a group are unique

Proof that every convergent sequence is bounded

Proof of the formula for the sum of the first n integers

Calculus Product Rule Example 1

Calculus Chain Rule Example 1

Calculus Chain Rule Example 2

Calculus Chain Rule Example 3

Expanding using the Binomial Theorem

Finding a limit using the Squeeze Theorem

Series Convergence and Divergence Using The nth Term Test

Integration by Parts The Integral of lnx

Integration by Parts the Integral of arctanx

Finding the equation of the tangent line for f(x) = x^(coshx) at (1,1)

Every Cyclic Group is Abelian Proof

If x^2 = e for all x in G then G is an abelian group proof

Graphing a Piecewise Function and Finding the Domain and Range

Writing a Parabola in Vertex Form

Graphing an Absolute Value Function

Determine if the differential equation is exact Example 1

Determine if the differential equation is exact Example 2

Determine if the differential equation is exact Example 3

Homogeneous Linear Second Order Differential Equation Example 1

Homogeneous Linear Second Order Differential Equation Example 2

Homogeneous Linear Second Order Differential Equation Example 3

Calculus A Limit with Absolute Value

Congruence Modulo n Transitivity Proof

Cramers Rule Example with Two Equations

Solving An Exponential Equation With Common Bases

Finding the Vertex of a Parabola Using the Formula

Find the Polynomial Given the Zeros and a Point

The Intersection of Two Subgroups is also a Group Proof

Congruence Modulo n Reflexivity Proof

Congruence Modulo n Symmetry Proof

Solving an Exact Differential Equation

Solving a Fourth Order Linear Homogeneous Differential Equation

Solving a First Order Linear Differential Equation

Finding the Critical Numbers of the Function f(x) = x^(2/3)

Finding the Derivative of the Function f(x) = (x^3 + x + 3)/x

Finding the Distance Between Two Points using the Distance Formula

Graphing Two Ellipses with Different Major Axes

Graphing an Ellipse when the Major Axis is Vertical

Graphing an Ellipse when the Major Axis is Horizontal

Finding the Midpoint of a Line Segment

Finding the Relative Extrema of f(x) = x + 4/x

Finding the Inverse of the Rational Function f(x) = 3/x + 2

Integrating with u-substitution the Integral of cotx

Integrating with u-substitution the Integral of tanx

Integrating with u-substitution and the arcsine Formula

Differentiating a Polynomial using the Power Rule

Finding the Derivative using the Product and Chain Rule

Differentiating a Rational Function with the Quotient Rule

Finding the Removable and Nonremovable Discontinuities of a Rational Fun...

Solving a Separable Differential Equation dS/dr = kS

Solving the Bernoulli Differential Equation x^2(dy/dx) + y^2 = xy

Solving a Differential Equation using a Substitution dy/dx = tan^2(x + y)

Determine if the Functions are Linearly Independent or Linearly Dependent

Determining if a Relation is a Function and Finding the Domain and Range

How to Prove a Function is Injective(one-to-one) Using the Definition

Injective(one-to-one), Surjective(onto), Bijection Functions Explained I...

The Composition of Injective(one-to-one) Functions is Injective Proof

Proof that every Differentiable Function is Continuous

Every Subset of a Linearly Independent Set is also Linearly Independent ...

Solving an Inequality with Absolute Value

How to Solve an Equation with Two Square Roots

Finding the Inverse of a Function given as a Set of Ordered Pairs

How to Compute the Composition of Two Functions

Solving a Quadratic Equation by Completing the Square

Finding the Derivative of f(x) = ln(ln(lnx)) using the Chain Rule

Solving an Equation with a single Absolute Value

Solving a Cubic Equation using the Rational Roots Theorem

A Complex Number times it's Conjugate is the Modulos Squared Proof

Evaluating the Definite Integral of |cosx| from 0 to pi

Calculus Using the Quotient Rule to Find the Derivative of a f(x) = x^5(...

Using Tabular Integration to Integrate x^4e^(2x)

Finding the Derivative of the Constant Function f(x) = 3

Finding the Derivative Using the Power Rule of a Root Function

Finding the Derivative Using the Power Rule f(x) = -4x^2 + 7x + 3

Finding a Derivative Involving Trigonometric Functions Example 1

Finding a Derivative Involving Trigonometric Functions Example 2

Finding a Derivative Involving Trigonometric Functions Example 3

Finding the Slope of the Tangent Line Example 1

Finding the Slope of the Tangent Line Example 2

Finding the Points at which the Tangent Line is Horizontal f(x) = x^2 + 7

Finding the Average Value of sinx over [0,pi]

Integration by Parts the Integral of xlnx

Related Rates The Surface Area of a Cube

Proof that the derivative of coshx is sinhx

Adding and Subtracting Complex Numbers Example 1

Multiplying Complex Numbers Example 1

Dividing Complex Numbers Example 1

Finding the Center and Radius of a Circle by Completing the Square

Finding Critical Numbers Example 1

Finding the Absolute Extrema on a Closed Interval Example 1

Integrating with u-substitution the Integral of secx

Integration by Parts the Integral of ln(x^2 + 3)

Integration Problem the Integral of e^xcoshx

Every Linear Transformation is one-to-one iff the Kernel is Trivial Proof

H U K is a subspace iff H is contained in K or K is contained in H Proof

Calculus Implicit Differentiation Find dy/dx Example 1

Calculus Implicit Differentiation Find dy/dx Example 2

Calculus Implicit Differentiation Find dy/dx Example 3

Adding and Subtracting Complex Numbers Example 2

Adding and Subtracting Complex Numbers Example 3

Multiplying Complex Numbers Example 2

Multiplying Complex Numbers Example 3

Multiplying Complex Numbers Example 4

Equation of the Tangent Line with Implicit Differentiation Example 1

Equation of the Tangent Line with Implicit Differentiation Example 2

Finding the Domain of a Logarithmic Function Example 1

Finding the Domain of a Logarithmic Function Example 2

Basic Set Operations: Union, Intersection, and Set Minus

Solving an Equation with Two Logarithms Example 1

Solving an Equation with Two Logarithms Example 2

Finding the Derivative using the Limit Definition Example 1

Finding the Total Differential of a Multivariate Function Example 1

Finding the Total Differential of a Multivariate Function Example 2

Finding the Arc Length Example 1

Finding the Limit of a Rational Function Example 1

Finding a Limit Using L'Hopitals Rule Example 1

Finding a Limit Using L'Hopital's Rule Example 2

Finding the Limit of a Piecewise Function Example 1

Finding a Limit Involving sinx/x as x approaches zero Example 1

Finding a Limit Involving sinx/x as x approaches zero Example 2

Equation of the Tangent Line with Implicit Differentiation Example 3

Equation of the Tangent Line with Implicit Differentiation Example 4

Finding a Limit Involving sinx/x as x approaches zero Example 3

Fundamental Principle of Counting Example 1

Fundamental Principle of Counting Example 2

Fundamental Principle of Counting Example 3

The Probability of Selecting a King or a Face Card using the Addition Rule

Trigonometric Integrals Powers of Sine and Cosine sin^3(x)*cos^2(x)

Trigonometric Integrals Powers of Sine and Cosine cos^3(x)*sin^2(x)

Trigonometric Integrals Powers of Sine and Cosine cos^5(x)*sin^6(x)

The Probability of Rolling a Five or an Odd Number using the Addition Rule

The Probability of Drawing Five Hearts Cards Using the Multiplication Rule

The Probability of Selecting Two Aces in a Row using the Multiplication ...

Trigonometric Integrals Powers of Sine and Cosine cos^4(3x)

The Probability of Selecting a King given a Hearts Card Conditional Prob...

The Probability of Selecting a Jack given a Face Card Conditional Probab...

Cauchy-Riemann Equations: Proving a Function is Nowhere Differentiable 1

Cauchy-Riemann Equations: Proving a Function is Nowhere Differentiable 2

Cauchy-Riemann Equations: Proving a Function is Nowhere Differentiable 2

Cauchy-Riemann Equations: Proving a Function is Nowhere Differentiable 3

Every Real-Valued Analytic Function in a Domain is Constant Proof