Can we integrate x^i?

Comments · 742

• GC

  @gcewing · 8 years ago

  "Killing two birds with one stone" is a strangely appropriate metaphor, seeing as "calculus" is the Latin word for "stone". :-)

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• OL

  @OLApplin · 8 years ago

  <a href="https://www.youtube.com/watch?v=WgOzdcvPb-k&amp;t=415">6:55</a> &quot;I don&apos;t like to be on the bottom, I shall be on the top &quot;... your choice man!

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• SU

  @suave319 · 8 years ago

  This channel is awesome <b>isn&apos;t it?</b>

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• KU

  @kujmous · 8 years ago

  This is pure joy.

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• LU

  @lukevaneyk3896 · 8 years ago

  I feel that teaching with colors as you do aids a lot in the grasping of these problems. When reading textbooks, it isn&apos;t always clear how they get from one step to the next. Your demonstrations make it much clearer.

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• RA

  @ramazantaikocusu · 6 years ago

  Plot twist: [x^(i+1)]/(i+1)+C

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• AN

  @AndDiracisHisProphet · 8 years ago

  and some people say imaginary numbers aren&apos;t useful

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• AD

  @adb012 · 8 years ago

  The title of this video should not be &quot;integral of x^i&quot; but &quot;how to solve integral of sin(ln x) and of cos (ln x) at the same time and much easier than using substitution and integral by parts&quot;

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• VE

  @verainsardana · 8 years ago

  <a href="https://www.youtube.com/watch?v=WgOzdcvPb-k&amp;t=635">10:35</a> &quot;if you are obsessed with +c&quot; i laughed so hard

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• CO

  @CODPIMPS4210 · 8 years ago

  I love your channel. I&apos;m currently in high school, working on my second year of calculus, and I love challenging myself with your higher level content, and your explanations are easy to follow and in depth enough, but not too in depth to the point of being boring. Keep up the great videos.

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• WH

  @whozz · 8 years ago

  I recommend you to see the graph of the integral of sin(ln(x)). It is really cool, the graph repeats itself in ever larger scales as x grows to infinite.

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• JO

  @JoãoMachado-f8f · 8 years ago

  &quot;Tonight I figured this out&quot; omg dude, you nights must be pretty intense.

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