Integral of 1/(a-cos(x)), a greater than 1, Weierstrass Substitution

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In this video, we will integrate 1/(a-cos(x)) by Weierstrass Substitution, #XmasColors, #Weierstrass #integrals

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blackpenredpen | 曹老師

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I'll make sure to show this one to my crocodile

josephlauletta

Im so glad youre going back to fun and interesting integrals! They were always my favourite thing on your channel

TheMiningProbe

Simply lucid .Keep making the videos making math interesting .

gurmeet

I'm kinda said he considered the possibility of me having a crocodile before considering the possibility of me having a girlfriend.

fracaralho

Bravo! Many thanks for the explanation.

claudiomarchesan

You always upload interesting integrals.

EduardoHerrera-frbd

9:31
BlackPenRedPen: “In the end, * pshou, pshou !!! *, ...”

nicholasleclerc

Cool, I love the wire straps substitution

Gold

I think you will make my integration strong because whenever I open YouTube I often get good integration problems

yugalkishore

Wow I loved this! It is always a pleasure when pi comes up in an integral :D

tatjanagobold

At 9:00 what if a was negative? Wouldn't you make that negative infinity so the inverse tangent would evaluate to -π/2?

jhawk

You missed the special cases a=1 and a=-1... The solution is completely different but easier

Fetherblaka

cosx = cos^2x/2 - sin^2x/2
now multiply and divide by cos^2x/2... Put tanx/2 = t and proceed futher as in the video..😀😀

Anonymous-kwls

Two pens at a distance d meter started simultaneously to move in an elliptical path. What is the probability that they would meet at a common point?

lakshyaagrawal

#Yay I was going to suggest you doing a video on half angle tangent sub!

crosisbh

First, haha. Never heard of the sub tho so that’s cool

qsolver

Wow.. I'm newly learn about that substitution. A bit.. Weird... lol... #YAY

wahyuadi

thanks for the trick
please upload some videos on challenging calculas
#YAY

rajrajeswaribag

I would have recommended the video to my turtle, but she was not in your list...

MrCardeso

a+1 can be negative, then the inverse tan would be -π/2. Right?

antonofka

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