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We integrate (sec(x) - cos(x))^2 , challenging trigonometric Calculus 2 definate integral. In this video, we walk through each step to evaluate both the definite and indefinite integral versions, using techniques like expanding binomials, leveraging trigonometric identities, and breaking down the integral into manageable parts. By the end, you'll understand how to simplify and solve challenging integrals with trigonometric functions. This video is perfect for students aiming to master integral calculus. ------------------------------------ Chapters / Timestamps 00:00 Introduction 00:32 Integral of (sec(x) - cos(x))^2 01:01 Common denominator much harder 01:52 Expand integrand binomial squared 03:35 sec(x) is reciprical of cos(x) 04:14 Seperate integral over + and - 04:43 Methods of integration 05:35 Power reducing formula for cos^2(x) 06:48 Fundamental theorem of calculus 07:49 u-substitution, definate integral of cos(2x) 09:35 Simplify terms 11:22 Antiderivative, indefinate integal of (sec(x) - cos(x))^2 12:37 Summary of integration 13:09 Take action! ------------------------------------ Please support us on Patreon: https://www.patreon.com/highpeakeduca... Please follow us on Facebook: / high-peak-education-110762917338673 Please follow us on Twitter: / highpeakeducate Please follow us on Instagram: / highpeakeducation Please follow us on Reddit: / highpeakeducation Please follow us on TikTok: / highpeakeducation Interact with us on Twitch: / highpeakeducation Interact with us on Discord: / discord #HighPeakEducation #Calculus #Calculus2