Calculus 2: Improper Integrals (Video #7) | Math with Professor V

Definition of Improper Integrals of Type 1 and Type 2, how to evaluate them by rewriting them as a limit. Definition of convergent and divergent integrals. Introduction to p-series. The Comparison Theorem for Integrals, and how to use the Comparison Theorem in order to determine whether an improper integral is convergent or divergent. #improperintegrals #calculus2 #mathtvwithprofessorv #convergent #divergent #convergentintegrals #divergentintegrals #pseries #comparisontheorem #integration #mathvideos #youtubemath #mathprofessor #math #calculus #calculusvideos #calculus2videos #mathtutor #mathhelp #calculushelp #calculustutor #integralcalculus #precalculus #trigonometry #integrationtechniques
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Calculus 2 Lecture Videos on Integration:
Integration by parts: • Calculus 2: Integratio...
Tabular Integration: • Integration by Parts -...
Trigonometric integrals: • Calculus 2: Trigonomet...
Trigonometric Substitution: • Calculus 2: Trigonomet...
Partial Fraction Decomposition: • Calculus 2: Integratio...
Strategy for Integration: • Calculus 2: Strategy f...
Improper Integrals: • Calculus 2: Improper I...
Trig Review:
Unit Circle: • Trigonometry: Circular...
Trig Identities: • Precalculus: Trigonome...
Sum and Difference Formulas: • Precalculus: Sum and D...
Double Angle & Half-Angle Formulas: • Precalculus: The Doubl...
Calculus 3 Video Lectures:
• Calculus 3 Video Lectures
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[@d.h.y]

You are such a good instructor who makes things easy!! I almost felt like a kindergarten student learning ABC while listening to your lecture lol 😆😆

[@mathwithprofessorv]

Haha love it! Thank you!

[@Sughnen]

Beautiful vid
Been struggling with this for a while now and you finally cleared it all up
Thanks.

[@mathwithprofessorv]

Oh I am so glad to hear that!!! You’re welcome ☺️

[@mim8295]

thank you!

[@mathwithprofessorv]

You’re welcome! ☺️

[@jcdenton3806]

Nice! Greetings from Brazil!

[@mathwithprofessorv]

Greetings! Obrigado pelo seu apoio ☺️

[@funwatchtv763]

at 31:08 why did you say that sin is less than 1, is it just a known rule?

[@mathwithprofessorv]

Yes, both sin(x) and cos(x) are bounded between -1 and 1. You can imagine their graphs, here’s a video for reference: Precalculus: Graphs of the Sine and Cosine Functions (Section 6.4)
czcams.com/video/zmoSlWvYCUs/video.html

[@AbbieHaylock]

Hey, thank you again for uploading such amazing content! For example 4, when I integrate I get 2(3-x)^1/2 not -2 (3-x)^1/2. I took the (3-x)^1/2 to the numerator then integrated normally... please could you note what I am doing wrong as I didn't get the negative sign?
Thank you!

[@mathwithprofessorv]

Hi Abbie! You forgot to divide by -1 when integrating because of the - in front of x. If you need to do a u-sub to see it then go for it, but be sure to change your limits of integration.

[@AbbieHaylock]

@@mathwithprofessorv Got it, thanks!