Math Fortress
Calculus II: Trigonometric Integrals (Level 1 of 7)
This video is an introduction to solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain powers of sine and cosine. This video covers 4 basic examples illustrating the case...
Brian McLogan
Find the values that the equation are not defined for
π Learn how to find the domain of rational functions with a radical numerator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero...
Brian McLogan
Setting your quadratic equation equal to zero so that you can factor out GCF and solve
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
Determine the slope between two points
π Learn how to find the slope between two points. The slope of a line is the steepness of the line. The horizontal line has a zero slope while the vertical line has an undefined slope. To determine the slope of a line passing through two...
Brian McLogan
How to use the definition of a derivative to evaluate the limit
π Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...
Brian McLogan
Find the derivative using quotient rule inside of the product rule
π Learn how to find the derivative of a function using the quotient rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Brian McLogan
How to find the equation of a parabola in conic sections given vertex and directrix
Learn how to write the equation of a parabola given the vertex and the directrix. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared)....
Brian McLogan
Second ftc example with cube root
π Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Brian McLogan
How to evaluate the definite integral of absolute value
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...
Catalyst University
Physical Differentials (2 of 2): Coulombic Transformations
Physical Differentials (2 of 2): Coulombic Transformations
Brian McLogan
Learn how to determine the domain from a rational function
π Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Brian McLogan
Learn to find the values the function is undefined, then write domain
π Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Brian McLogan
Find the slope between two points when undefined
π Learn how to find the slope between two points. The slope of a line is the steepness of the line. The horizontal line has a zero slope while the vertical line has an undefined slope. To determine the slope of a line passing through two...
Brian McLogan
Second FTC example with cube root
π Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Flipping Physics
Force of Gravity and Gravitational Potential Energy Functions from Zero to Infinity (but not beyond)
The force of gravity and the gravitational potential energy between an object and a planet is derived and graphed, inside and outside the planet.
Brian McLogan
How to determine if a piecewise function is continuous or not with limits
π Learn how to evaluate the limit of a piecewice function. A piecewise function is a function that has different rules for a different range of values. The limit of a function as the input variable of the function tends to a number/value...
Brian McLogan
What you Need to Know about Functions for Pre-Calculus
What you Need to Know about Functions for Pre-Calculus
Brian McLogan
How to determine the increasing and decreasing values
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
Evaluate the left and right hand limit by graphing the function
π Learn how to evaluate the limit of an absolute value function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The absolute value...
Brian McLogan
How to apply the 2nd ftc with secant squared
π Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Brian McLogan
Simplifying the difference quotient
π Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...
Brian McLogan
Learn how to determine the limit of a logarithmic function
π Learn how to evaluate the limit of a transcendental function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a function...