This video provides two examples of how to determine indefinite integrals of trigonometric functions that require double substitutions.
trigonometric
Evaluate a Definite Integral with a Trigonometric Function: a*csc(x)cot(x)
This video explains how to evaluate a definite integral with a trigonometric function.
Evaluate a Definite Integral with Pythagorean Substitution: -atan^2(x)-a
This video explains how to evaluate a definite integral with a trigonometric function and a Pythagorean substitution.
Determine the Relative and Absolute Extrema from The Graph of Trigonometric Function
This video explains how to determine the relative and absolute extrema from the graph of a trigonometric function.
Logarithmic Differentiation: x^(3sin(x))
This video provides an example on how to perform logarithmic differentiation.
Determine the Rate of Change of an Angle of Elevation Using Arcsine: Pole Wires
This video explains how to determine the rate at which an angle of elevation using changing using arcsine.
Determine the Rate of Change of an Angle of Elevation Using Arctangent: Building Shadow
This video explains how to determine the rate at which an angle of elevation using changing using arctangent.
Derivative of a Product Involving Inverse Tangent: y=(4sin(x)+8cos(x))arctan(x)
This video explains how to determine the derivative of a product involving arctangent.
Derivative of a Composite Inverse Tangent Function: y=6arctan(8sin(3x))
This video explains how to determine the derivative of a composite function involving arctangent.
Derivative of Arctangent and Arcsecant with the Chain Rule
This video explains how to determine the derivative of inverse trigonometric functions.