Integration: The Change of Variables Technique (u-Substitution) [fbt]

This [fbt] video is about using the Change of Variables and u-Substitution techniques to integrate functions in a Calculus course. This video includes examples involving indefinite integrals, definite integrals, functions with Euler's number, square root functions, trigonometric functions, and others. Instruction is delivered by Larry "Mr. Whitt" Whittington of Fort Bend Tutoring. Design, production and lesson plan created by Larry "Mr. Whitt" Whittington. U - Substitution and changing of variables methods are used in Pre-Calculus, Business Calculus, Calculus I, Calculus II, Calculus III, Advanced Calculus, Differential Equations and Physics courses.
[fbt] Timestamps
01:55 [01] ∫2x(x² + 1)² dx
06:05 [02] ∫(3 - x⁴)³x³ dx
10:00 [03] ∫dx/(3x + 5)
12:42 [04] ∫(sinx)/(cos³x) dx
15:34 [05] ∫e^(4√x)/√(x) dx
18:52 [06] ∫x/(x - 21) dx
23:53 [07] ∫⅓(sin5x) dx
27:00 [08] ∫x√(2x - 1) dx
33:18 [09] ₀∫⁴1/√(2x + 1) dx
37:01 [10] ₀∫^(π/2) cos(2x/3) dx
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Пікірлер: 19

  • @gregoryhill5604
    @gregoryhill5604 Жыл бұрын

    I took Calculus in the 1970's. Your videos have helped me obtain a much better understanding and technique. Keep going! Thanks a lot!

  • @dyedhairchangedname
    @dyedhairchangedname3 жыл бұрын

    my 6th-grade teacher would show us some of your videos, they always helped. Now I'm in high school, and I'm so glad you're still uploading!! Thanks for all you do

  • @FortBendTutoring

    @FortBendTutoring

    3 жыл бұрын

    Happy to help Alara! Thanks 4 your continued patronage! 😁👨🏾‍🏫

  • @Jamey-xm1dd
    @Jamey-xm1dd5 ай бұрын

    Thank you so much for everything Mr. Whitt! I’ve accelerated in math so much because of all of your wonderful help. I hope that things are going great for you in life. Peace!! 💕

  • @junebustamante2963
    @junebustamante2963 Жыл бұрын

    excellent teaching. Easy to follow. Thank you so much Mr. Whit!

  • @vaterix4202
    @vaterix42023 жыл бұрын

    Thanks for helping me during my academic upgrading. Now I'm doing electronic engineering. Cheers from Canada

  • @FortBendTutoring

    @FortBendTutoring

    3 жыл бұрын

    My pleasure imnot you! Take care and enjoy your accomplishments! 😁👨🏾‍🏫

  • @raitup00
    @raitup003 жыл бұрын

    Your videos are really useful for practise!!! Saludos desde México

  • @FortBendTutoring

    @FortBendTutoring

    3 жыл бұрын

    Happy 2 help Raymundo! Thanks 4 watching! 😁👨🏾‍🏫

  • @FortBendTutoring
    @FortBendTutoring3 жыл бұрын

    Check out these helpful [fbt] timestamps! 01:55 [01] ∫2x(x² + 1)² dx 06:05 [02] ∫(3 - x⁴)³x³ dx 10:00 [03] ∫dx/(3x + 5) 12:42 [04] ∫(sinx)/(cos³x) dx 15:34 [05] ∫e^(4√x)/√(x) dx 18:52 [06] ∫x/(x - 21) dx 23:53 [07] ∫⅓(sin5x) dx 27:00 [08] ∫x√(2x - 1) dx 33:18 [09] ₀∫⁴1/√(2x + 1) dx 37:01 [10] ₀∫^(π/2) cos(2x/3) dx Thanks 4 watching! Mr. Whitt

  • @edwardgaming466
    @edwardgaming4663 жыл бұрын

    I'm almost there to calculus 2!!! Please make more of this integration techniques for our future learning!!!

  • @FortBendTutoring

    @FortBendTutoring

    3 жыл бұрын

    Sounds like a plan Edward Gaming! Keep progressing! I’m rooting 4 you! 😁👨🏾‍🏫

  • @edwardgaming466

    @edwardgaming466

    3 жыл бұрын

    @@FortBendTutoring thanks as always!!!

  • @virajpatil1017
    @virajpatil10175 ай бұрын

    Nice, can you cover by parts i am currently struggling with that. Thanks!

  • @BabilonKay
    @BabilonKay3 жыл бұрын

    Great video!!!!

  • @FortBendTutoring

    @FortBendTutoring

    3 жыл бұрын

    Thanks Babilon! I really appreciate the support! 😁👨🏾‍🏫

  • @samanthadenise3907
    @samanthadenise39073 жыл бұрын

    HEY MR. WHITT!!!!!! Sooo I am having trouble understanding my teacher about Factorials, Permutations, and Combinations... could you please do a review on this because I don't trust the other tutors on youtube -_-... Thank you....YOU'RE DOING GREAT!!!!!!

  • @mathlearning2947
    @mathlearning29473 жыл бұрын

    I missed your videos

  • @FortBendTutoring

    @FortBendTutoring

    3 жыл бұрын

    Thanks 4 the support! More on the way! 😁👨🏾‍🏫