Brian McLogan
Evaluate the integral with trig u substitution
π Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Brian McLogan
Simplifying the square root of an expression
π Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...
Brian McLogan
Simplify an expression by adding and subtracting radical terms
π Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
How to use prime factorization to determine the square root of a number, sqrt(56)
π Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to...
Brian McLogan
Learn how to use quadratic formula to determine the roots of an equation
π Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
Using the discriminate to describe the solutions of a quadratic
π Learn how to solve a quadratic equation by applying the quadratic formula. To apply the quadratic formula the quadratic equation must be equal to zero. Then you can apply the quadratic formula to determine solutions to the equation,...
Brian McLogan
Solving a quadratic equation by taking the square root of both sides
πLearn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
Learn how to factor a trinomial by factoring
πLearn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Brian McLogan
How to solve a quadratic by using the square root method
πLearn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
How to factor a binomial by factoring out the GCF as well as by difference of two squares
πLearn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then...
Brian McLogan
Master How to solve a quadratic equation with two terms by factoring out the GCF
Master How to solve a quadratic equation with two terms by factoring out the GCF So what I'd like to do is show you how to solve a quadratic equation by factoring out the GCF. So basically, in this one, when factoring out the GCF, what...
Brian McLogan
Master How to Verify a trigonometric identity using half angle formulas
Master How to Verify a trigonometric identity using half angle formulas
Brian McLogan
How to Solve and Write the Linear Factorization when Factoring a Polynomial
π Learn how to find all the zeros of a polynomial in the form of the difference of two squares. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive...
Math Fortress
Differential Equations: Implicit Solutions (Level 1 of 3)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over implicit solutions of differential equations. The concept of a formal solution is also presented.
Curated Video
Equation of a Circle Centered at a Point: Explained and Solved Examples
This video is a presentation on the equation of a circle. The presenter explains the general formula for the equation of a circle centered at the origin and at a particular point of AB. The video also covers how to calculate the radius...
Brian McLogan
How to expand a logarithmic expression with multiple logarithms
π Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...
Brian McLogan
Determine If the Function With a Radical is Even or Odd or Neither
π Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Brian McLogan
How to use the sum and difference formula for tangent
π Learn how to evaluate the tangent of an angle in degrees using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Brian McLogan
Simplify a radical expression with variables
π Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...
Brian McLogan
Find the domain from division of two functions
π Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
What is the identify element of a radical expression
π Learn the basics of simplifying radicals. A radical is an expression having the root/radical symbol. A radical expression can also be rewritten as an expression with fractional/rational exponent. The number outside the radical symbol...
Brian McLogan
Simplify the Radical Expression with Multiplication
π Learn how to multiply radicals. A radical is an expression or a number under the root symbol. To multiply radicals with the same root, it is usually easy to evaluate the product by multiplying the numbers or expressions inside the...
Brian McLogan
How to simplify the square root of an expression with a binomial part of the radicand
π Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...
Brian McLogan
Multiplying the Square Root of Two Radical Expressions
π Learn how to multiply radicals. A radical is an expression or a number under the root symbol. To multiply radicals with the same root, it is usually easy to evaluate the product by multiplying the numbers or expressions inside the...