Integral of the Day: 8.2.23 | Trig Integral | Calculus 2 | Math with Professor V

I thought this latest integral was a good review of how to deal with trig functions and making sure you're sharp with remembering your trig derivatives and identities! Enjoy!

Don't forget to LIKE, Comment, & Subscribe!

xoxo,
Professor V

Calculus 2 Lecture Videos on Integration:

Trig Review:

Calculus 3 Video Lectures:

#mathwithprofessorv #integration #partialfractions #partialfractionmethod #partialfractiondecomposition #trigonometricsubstitution #trigintegrals #trigsubstitution #integrals #integralcalculus #calculus2 #calculusvideos #calculus2videos #integralvideos #trigonometricintegrals #math #youtubemath #mathvideos #mathtutor #mathprofessor #calculusvideos #integrationbyparts #integralcalculus

Join this channel to get access to perks:

Socials:
IG: @mathwithprofessorv
TikTok: @mathwithprofessorv

I'm also an Amazon influencer, so feel free to support and shop:

EXCITING NEWS: You can now sign up for my Patreon at the link below!

My Patreon is a place for students to have access to exclusive ad-free content not available on my YouTube channel! Access to the library of additional videos, worksheets, and more is available with the "Star Pupil Package" tier for just $9.99/month (USD).

*This video is copy protected and cannot be downloaded or used in any capacity without my permission.*

[MikeMagTech]

Thank you for another great integral! Being self taught I find it very helpful to follow along with a real mathematician.

[georgesadler]

Professor V, thank you for an awesome Integral of the Day. Professor V, this integration is simple once students/nonstudents recognized the u and du substitutions and the Trigonometric Integration of (Cos u)^3 du. This is an error free video/lecture on YouTube TV with Math Professor V.

[k_wl]

let u = tanY
du = sec^2(y) dy
integral cos^3(u)du
cos^3(x) = (cos(3x) + 3cos(x))/4 [ from cos(3x) formula]
1/4 of integral cos(3u) + 3cosU du
1/4 of (sin(3u)/3 + 3sin(u))
sin(3u)/12 + 3sin(u)/4
sin(3tany)/12 + 3sin(tany)/4 + c