Evaluating Integrals With Trigonometric Functions

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Now that we have the basics down regarding integration, it's time to start looking at trickier functions, and eventually more complex integrands. First, we will see trig functions inside integrands all the time. How do we integrate these? Well if we remember the derivatives of the trig functions, it won't be too hard!

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This is a lifesaver for me. This is actually one of the topics that I couldn't grasp a few weeks ago and this week is already our finals. I am a SHS student in the Philippines and I am frequently using your content to learn in advance or study the topics for our quizzes so I am grateful to you Sir! I hope I can help directly by giving donations but I make sure I share your videos to my classmates. Thank you!

vex
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DUDE! You seriously have a gift of teaching! I was thinking of dropping out of Calculus because I didn't understand anything, and with this video, and reviewing the video you recommended, you got me up to speed in less than a day!!! YOU ARE A LIFE SAVER!!!!

Thank you so much for what you do!!! Keep up the great work!!!

adhel-estebanriverarodrigu
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I love your modern content, but those tutorials will stay relevant and great for ages.

Bankosek
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Thank you sir for your dedication and for making this free! 🙏

Kiky_MedPhysicist
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Absolute legend man i watched multiple videos and you were one of the few who could explain it cause i was lost

Salamanca-joro
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Thank you very much sir...(from sri lanka..)
3month lecture in 10min.. 🙏👍👍

sewwandiishara
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I missed the class where we talked about this stuff, and I have been singing the intro song all day in anticipation for doing my homework on this

DBear
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Wow! This is really good sir. From Kenya( Africa)

anthonyvicker
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5:44 or we can also say sin^2x/cos2^x which will be[ tanx] and cos^2x/cos^2x will be 1 and we will get :

The integer tan^2x+1 which will be the integer of sec^2x which is tanx+c

Salamanca-joro
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Chemistry physics and now calculus??? Mah mannn!

francisgregoryku
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Holy cow this is hard. I can’t imagine how integration is gonna be later on

littleretroship
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Sir, could you give me the reason of this? Why do these trigonometric functions behave like this when integrated?

TheFirstNamelessOne
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can we prove this using the U-substitution?

rjf
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What to do when evaluating trig functions with respect to y? Evaluate the integral of tanxdy from 0 to 7? What about sinxdy from 0 to 7?

vashman
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you teach great and i understand.but you dont teach all the trigonometry identities making me hard to relate in in your question

furejul
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Sir would the rule of questient and multiple hold in definite integral??? Plizz...

topiado
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Probably ı will pass the class with you

tturkuaz
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Can you do some problems using u substitution with trig integrals?

smookytubes
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"Sine! Cosine! Tangent! Integral! Permutation!" - Ringo Ando

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