How to Find the Indefinite Integral of (x + 1)sin(x² + 2x + 3) | Integration by Substitution

Welcome to Cole's World of Mathematics! In this video, we’ll explain how to find the indefinite integral of (x + 1)sin(x² + 2x + 3). This integral requires the method of substitution, and we’ll guide you through each step of the process, making it easy to understand and apply to other similar problems.
We’ll begin by identifying the substitution that simplifies the integral, then use integration techniques to solve it. This is a great tutorial for students studying calculus, preparing for exams, or anyone who wants to improve their skills in solving more complex integrals.
By the end of this tutorial, you'll have a clear understanding of how to approach integrals that involve trigonometric functions and polynomial expressions.
🔔 Don’t forget to subscribe to Cole's World of Mathematics for more math tutorials! 👍 If this video helped you, be sure to like it, share it with your friends, and leave a comment with any questions or future video suggestions!
#IndefiniteIntegral, #CalculusTutorial, #IntegrationBySubstitution, #TrigIntegrals, #MathHelp, #IntegralProblems, #ColesWorldOfMathematics, #StepByStepMath, #Calculus, #learnmath
SEO Keywords: indefinite integral, integral of (x + 1)sin(x² + 2x + 3), integration by substitution, trigonometric integrals, calculus tutorial, solving integrals, calculus problems, math help, Cole's World of Mathematics, calculus solutions, integration techniques, high school calculus, math education, KZbin math, solving indefinite integrals, integral solutions
*******************************************
Math Tutorials on this channel are targeted at college-level mathematics courses including calculus, pre-calculus, college algebra, trigonometry, probability theory, TI-84 tutorials, introductory college algebra topics, and remedial math topics from algebra 1 and 2 for the struggling college adult (age 18 and older).
*******************************************
SUBSCRIBE HERE for more College-Level Math Tutorials --► bit.ly/2HPIkCc
*******************************************
Be sure to Check Out Cole’s World of Mathematics Merchandise!
Supporting Cole’s World of Mathematics is as easy as 1-2-3.
Click Here --► colesworldofma...
*******************************************
For More College-Level Math Tutorial Videos, check out all of my Playlists:
Tricks & Short-Cuts for Memorizing Math Formulas: bit.ly/2mT8qxo
Sketching & Translating Basic Equations: bit.ly/2mSPsqK
TI-84 Calculator Videos: bit.ly/2novtib
Factoring Techniques Playlist: bit.ly/2n5OFCT
Calculus Videos: bit.ly/2nozSlf
Calculus Theorems: bit.ly/2x7omzP
Integration - Calculus 1: bit.ly/2oBxNjq
Individual Integrals: bit.ly/2oUCGap
Derivatives - Calculus 1: bit.ly/2oByskZ
U-Substitution Methods: bit.ly/2oUtSRL
Limits - Calculus 1: bit.ly/2oBFV3f
Related Rates - Calculus 1: bit.ly/2mgeSid
AP Calculus AB Test Tips Videos: bit.ly/2noq7DM
SAT Math Test Prep Series: bit.ly/2x6Zc41
STEM Project in Calculus: bit.ly/2noq0bq
Pre-Calculus Videos: bit.ly/2noi0H8
Inverse Functions: bit.ly/2FKtZJa
Exponential Functions: bit.ly/2FLqUIU
Logarithms: bit.ly/2mjxLR9
Permutations: bit.ly/2mSPPBK
Trigonometry Videos: bit.ly/2nojaCK
Algebra Videos: bit.ly/2noyVtr
Algebra 2 Videos: bit.ly/2nopGJK
Linear Equations: bit.ly/2oToPkA
Solving Equations Videos: bit.ly/2x7o7op
Simplifying Radicals: bit.ly/2mjiDDn
Circles: bit.ly/2mhNCju
Parabolas: bit.ly/2oBuOYm
Quadratics: bit.ly/2j24FC2
Ellipses: bit.ly/2p1QgG7
Fun Things to do on the TI-84: bit.ly/2nopVVa
Math Tricks: bit.ly/2nopsCa
*******************************************
Be sure to check out Cole’s World of Mathematics around the web!
ON FACEBOOK: bit.ly/2dQMlZq
ON TWITTER: / arcole82
My TpT Site: bit.ly/1MxQlG1
Classroom Website: www.professorco...
Personal Website: www.colesworldo...
*******************************************