Calculus: Substitution to Integrate Trig Functions
Free Video Lesson: Calculus: Substitution to Integrate Trig Functions
Calculus: Substitution to Integrate Trig Functions
Watch Full Lesson Here: http://www.mindbites.com/lesson/842-calculus-substitution-to-integrate-trig-functions/first# This lesson is part of a series: Calculus In this lesson, we will work on solving antidifferentiation problems involving composite trigonometric functions using the substitution method to solve for the integral. A composite function is a function that results from applying one function first and then another (e.g. f(g(x))). When these involve trig functions, they look like: find the antiderivative (or integral) of (2x+1)*sin(x^2+x)dx. After using substitution, if you end up with the du-expression being off by a factor of a constant, remember that you can take that constant multiple out of the integral (because of the constant multiple rule of integration and antidifferentiation). Additionally, this lesson will cover the integration of composite functions that involve the trigonometric function secant (in addition to other, more basic, trig functions). Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, College Algebra. This course and others are available from Thinkwell, Inc. The full course can be found at http://www.thinkwell.com/student/product/calculus. The full course covers limits, derivatives, implicit differentiation, integration or antidifferentiation, L'Hôpital's Rule, functions and their inverses, improper integrals, integral calculus, differential calculus, sequences, series, differential equations, parametric equations, polar coordinates, vector calculus and a variety of other AP Calculus, College Calculus and Calculus II topics. From: Mindbitesdotcom Views: 796 4 ratings Time: 02:29 More in Education
Watch Full Lesson Here: http://www.mindbites.com/lesson/842-calculus-substitution-to-integrate-trig-functions/first# This lesson is part of a series: Calculus In this lesson, we will work on solving antidifferentiation problems involving composite trigonometric functions using the substitution method to solve for the integral. A composite function is a function that results from applying one function first and then another (e.g. f(g(x))). When these involve trig functions, they look like: find the antiderivative (or integral) of (2x+1)*sin(x^2+x)dx. After using substitution, if you end up with the du-expression being off by a factor of a constant, remember that you can take that constant multiple out of the integral (because of the constant multiple rule of integration and antidifferentiation). Additionally, this lesson will cover the integration of composite functions that involve the trigonometric function secant (in addition to other, more basic, trig functions). Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, College Algebra. This course and others are available from Thinkwell, Inc. The full course can be found at http://www.thinkwell.com/student/product/calculus. The full course covers limits, derivatives, implicit differentiation, integration or antidifferentiation, L'Hôpital's Rule, functions and their inverses, improper integrals, integral calculus, differential calculus, sequences, series, differential equations, parametric equations, polar coordinates, vector calculus and a variety of other AP Calculus, College Calculus and Calculus II topics. From: Mindbitesdotcom Views: 796 4 ratings Time: 02:29 More in Education
