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A tidy substitution example
In this video we utilise the fact that the derivative of tanx is the square of secx to solve this integral by substitution.
zhlédnutí: 198

Video

How to integrate using substitution
zhlédnutí 15Před 10 měsíci
In this video we take a look at an example to illustrate how one can use substitution to solve integrals. Substitution is an integration technique that is the opposite of using the chain rule for differentiation. We will have lots more integrals coming up demonstrating the technique.
A level Maths | Simple chain rule example
zhlédnutí 40Před 11 měsíci
A level Maths | Simple chain rule example
Product rule example problem
zhlédnutí 33Před 11 měsíci
Product rule example problem
Proof by mathematical induction
zhlédnutí 71Před 11 měsíci
Proof by mathematical induction
Proof by contrapositive
zhlédnutí 100Před 11 měsíci
Proof by contrapositive
Simple divisibility proof | Direct Proof
zhlédnutí 12Před 11 měsíci
Simple divisibility proof | Direct Proof
Simple proof by exhaustion
zhlédnutí 1,6KPřed rokem
Simple proof by exhaustion
A common application of De Moivre's theorem
zhlédnutí 51Před rokem
A common application of De Moivre's theorem
Solving a separable ordinary differential equation
zhlédnutí 46Před rokem
Solving a separable ordinary differential equation
Showing this equation has no integer solutions
zhlédnutí 314Před 2 lety
Showing this equation has no integer solutions
Does this equation have any solutions in the integers?
zhlédnutí 24Před 2 lety
Does this equation have any solutions in the integers?
Proving this inequality holds true
zhlédnutí 18Před 2 lety
Proving this inequality holds true
Finding the coordinates of the minimum for a translated function
zhlédnutí 16Před 2 lety
Finding the coordinates of the minimum for a translated function
A level further maths matrix proof by induction style question
zhlédnutí 48Před 2 lety
A level further maths matrix proof by induction style question
How to integrate a^x
zhlédnutí 11Před 2 lety
How to integrate a^x
Can you find the nth term of this sequence?
zhlédnutí 20Před 2 lety
Can you find the nth term of this sequence?
Finding all the solutions to this equation
zhlédnutí 7Před 2 lety
Finding all the solutions to this equation
Basic linear algebra problem
zhlédnutí 4Před 2 lety
Basic linear algebra problem
How to calculate the partial derivatives of a function of three variables
zhlédnutí 12Před 2 lety
How to calculate the partial derivatives of a function of three variables
Finding the derivatives of the hyperbolic functions
zhlédnutí 11Před 2 lety
Finding the derivatives of the hyperbolic functions
Verifying a hyperbolic identity
zhlédnutí 17Před 2 lety
Verifying a hyperbolic identity
How to solve a linear homogeneous Diophantine equation
zhlédnutí 155Před 2 lety
How to solve a linear homogeneous Diophantine equation
Integration by substitution.
zhlédnutí 10Před 2 lety
Integration by substitution.
Can you pick the correct substitution?
zhlédnutí 9Před 2 lety
Can you pick the correct substitution?
Oxford MAT 2007 paper || Q1
zhlédnutí 244Před 2 lety
Oxford MAT 2007 paper || Q1
Oxford MAT 2016 || Q1
zhlédnutí 36Před 2 lety
Oxford MAT 2016 || Q1
JEE Main 2017 maths paper Q8
zhlédnutí 48Před 2 lety
JEE Main 2017 maths paper Q8
0/0 Limit problem
zhlédnutí 15Před 2 lety
0/0 Limit problem
Derivative of the natural logarithm from first principles
zhlédnutí 41Před 2 lety
Derivative of the natural logarithm from first principles

Komentáře

  • @user-sm4sf4ff2i
    @user-sm4sf4ff2i Před 2 měsíci

    Cheer~~the condition of being equal or equivalent in value, worth, function, etc.😊

  • @leksidechannel
    @leksidechannel Před 2 měsíci

    Thanks !

  • @idgca
    @idgca Před 4 měsíci

    so helpful thankk uu

  • @Sean-rt1uv
    @Sean-rt1uv Před 6 měsíci

    thanks gang

  • @pluvvio
    @pluvvio Před 7 měsíci

    what do you look for when you're trying to figure out if you need to use sine rule or cosine rule

    • @sbmathsyt5306
      @sbmathsyt5306 Před 7 měsíci

      For the sine rule you need two sides and two angles. That could be 2 known sides, one known angle and an unknown angle that you are trying to find for example. For the cosine rule we require 3 sides and 1 angle

  • @billygarvey633
    @billygarvey633 Před 10 měsíci

    Put the augmented matrix into RREF

  • @focusonmyaim8980
    @focusonmyaim8980 Před 10 měsíci

    bhai sote hue vdo bna rha hai kya 😬

  • @YuckFou0x0FFFF
    @YuckFou0x0FFFF Před 11 měsíci

    You could've made this actually educational by explaining the process out-loud. Or writing out a formula that can be used to reach the solution. To someone who doesn't know matrices, they have no clue what you're writing.

    • @sbmathsyt5306
      @sbmathsyt5306 Před 11 měsíci

      We have full videos on the channel. The idea of the shorts is to introduce people to the channel and give an idea of some of the content we cover.

  • @beauty625
    @beauty625 Před 11 měsíci

    First of all, amazing handwriting. Second of all what amazing asmr

  • @LePenguinEditz25
    @LePenguinEditz25 Před 11 měsíci

    Why am I so obsessed with your handwriting😂, it's so smooth😅

  • @xedasxedas
    @xedasxedas Před 11 měsíci

    Woow....i wasn't expecting that among short of ladies apparently cold picking up firewood.

  • @arjunsarkart
    @arjunsarkart Před 11 měsíci

    I love u

  • @Vidrinskas
    @Vidrinskas Před 11 měsíci

    Or just use laws of logs and differentiate y= 3lnx which is much easier.

  • @joseluisvelazquez1631

    Does this mean that 0 is even? 👀

  • @pocok5000
    @pocok5000 Před rokem

    x(x+1) is a product of two consecutive integers, one of which is even. If this was meant to be a demonstration of the method, you should use an example where that's the easiest method.

    • @sbmathsyt5306
      @sbmathsyt5306 Před rokem

      Fair comment. With a simple example like this there are lots of ways to go about it, wanted to pick an example where the method could be easily applied. Thanks for watching and commenting :))

  • @silverriffs
    @silverriffs Před rokem

    A number always keeps its parity when squared and adding numbers of the same parity always yields an even number

  • @arielyahav4497
    @arielyahav4497 Před rokem

    Or if you write x = 2k + m, m being either 1 or 0, the proof devolves into pricing the same claim for m, namely m squared plus m is even, but now m is either 0 or 1.

  • @Googl81
    @Googl81 Před rokem

    If you factorise the x^2 + x as x(x + 1) first, it becomes much easier to solve. Case 1: x is even => 2(k(2k + 1)) Case 2: x is odd => (2k + 1)(2k + 1 + 1) = 2((2k +1)(k + 1))

  • @varunbhaii9862
    @varunbhaii9862 Před rokem

    Last but one line is 2,1 I think

  • @sayanisenguptadatta8946

    (x+a)(x+b)=x^2+(a+b)x+ab

  • @Tee.Dee3
    @Tee.Dee3 Před rokem

    thats just x (x^x) so it should be x^x^x ??

  • @CymruCreator
    @CymruCreator Před rokem

    What is this? What is a matrix?

    • @sbmathsyt5306
      @sbmathsyt5306 Před rokem

      A matrix is simply an array of numbers. For matrices which are square (have the same number of rows and columns) we can find a quantity called the determinant, which is demonstrated here for a 2x2 matrix.

    • @CymruCreator
      @CymruCreator Před rokem

      @@sbmathsyt5306 I appreciate you taking the time to write this, but it didn't really explain anything to me. what is it's purpose? what is the logic of this determinant?

    • @sbmathsyt5306
      @sbmathsyt5306 Před rokem

      @@CymruCreator matrices can describe transformations and the determinant gives information on the scale factor of a transformation. Also, if a square matrix has a non zero determinant then it can be inverted.

    • @CymruCreator
      @CymruCreator Před rokem

      @@sbmathsyt5306 I see! (I don't really, lol) well it seems this is more advanced maths than what they taught when I was in school. Maybe it's the same as this 'calculus' I've heard people talk about or even beyond that.

    • @sbmathsyt5306
      @sbmathsyt5306 Před rokem

      @@CymruCreator It is part of maths called 'linear analysis' if you wanted to look it up :))

  • @AnduamePihanie-xx4vu

    thanks 😊

  • @JENNIFERNDECHE-iq6qc

    Sir, please take your teachings easy

  • @ks-gaming_FF
    @ks-gaming_FF Před rokem

    😊😊😊😊 yes sir 👌

  • @ahmadalghamdi9002
    @ahmadalghamdi9002 Před rokem

    What if I assumed that the gcd between a and b, is 2 , I will never change any thing in the proof, I mean can you assume what ever you want and just building on it?!!

    • @sbmathsyt5306
      @sbmathsyt5306 Před rokem

      The idea of proof by contradiction is make an assumption and then get something back that is incorrect using operations we are allowed to use. Then we know that the assumption must be incorrect. If we assume the gcd(a,b)=2 then we have a=2m and b=2n. Then we could consider m and n which must then have gcd 1 and could do the exact same proof

  • @Raphraphim
    @Raphraphim Před rokem

    Its hard learning maths using shorts

  • @ANITOOB
    @ANITOOB Před rokem

    it must be hard for you to write with that pen

  • @OmkarFFgaming670
    @OmkarFFgaming670 Před rokem

    Tq sir

  • @DLTTMB
    @DLTTMB Před rokem

    now do one where either or both a and b in a+bi 8s negative

  • @Ratan_Tiwari_
    @Ratan_Tiwari_ Před rokem

    🇮🇳

  • @hossainboard86
    @hossainboard86 Před rokem

    Shouldn't there be 8(9m+1) instead of 8(9m-1)?????

  • @historyisfun2446
    @historyisfun2446 Před rokem

    Nice stuff. Only at the final expression the product should be 8*(9n+1) not 8*(9n-1)

  • @matildaoliver8662
    @matildaoliver8662 Před rokem

    pls make more videos on other basic topics

  • @amanrajput6715
    @amanrajput6715 Před rokem

    thanku sir

  • @Nishant-SG
    @Nishant-SG Před rokem

    Thanks

  • @moreaction450
    @moreaction450 Před rokem

    Good job bro

  • @heisnelson6473
    @heisnelson6473 Před rokem

    Can you help with this (A+B)^T=(A^T+B^T)

    • @sbmathsyt5306
      @sbmathsyt5306 Před rokem

      This is good idea! You can try a similar approach to the one shown here and I will try to make a video on this over the next couple of days

    • @heisnelson6473
      @heisnelson6473 Před rokem

      @@sbmathsyt5306 okay thank you 😊🙏

    • @sbmathsyt5306
      @sbmathsyt5306 Před rokem

      @@heisnelson6473 czcams.com/video/RSmsiEGkElE/video.html

  • @maheswarb6205
    @maheswarb6205 Před rokem

    Great sir last you say that we assume a and b are co prime but at last we got both a and b are divisible by 2 so it is irrational because our assemtion is wrong

  • @ElowenFaye
    @ElowenFaye Před rokem

    This is a really offtopic question but: Which part of the UK is your accent from? I'm not a native speaker so I can't tell, however, I'm in love with the UK accents and I'd like to broaden my knowledge in reckognising them! Besides that, thanks for the video, it helped me with my thesis :) Kind regards

  • @theimperfectteen333

    This really helped thank you

  • @albertr.8926
    @albertr.8926 Před rokem

    ᑭᖇOᗰOᔕᗰ 😂

  • @dariusringo4472
    @dariusringo4472 Před rokem

    Ur 4’s are kinda weird but thanks for the vid

  • @k.hokuharo
    @k.hokuharo Před rokem

    Thank you!!

  • @Janvir_Singh
    @Janvir_Singh Před rokem

    Ty this really helped

  • @GCSEALevelMaths
    @GCSEALevelMaths Před 2 lety

    Excellent video sir really lovely explanation. Keep it up.

  • @atifny6263
    @atifny6263 Před 2 lety

    Awesome bt lil energy is needed in ur tone 👏

    • @sbmathsyt5306
      @sbmathsyt5306 Před 2 lety

      Haha. Thank you, I'll try some coffee next time.

  • @242math
    @242math Před 2 lety

    very well demonstrated

  • @5people829
    @5people829 Před 2 lety

    Did you fall asleep while making this video or something why is it so quiet

  • @242math
    @242math Před 2 lety

    thanks for sharing this linear homogeneous diophantine problem