Trig substitution integration: x=a*tanθ, calculus 2

[@user-wu8yq1rb9t]

I just finished your last video. And now you uploaded it .... Great

[@MathAdam]

0:45 If you don't have the square root, you can still use it. 0:48 Maybe

[@bprpcalculusbasics]

hahaha!

[@ShiroiTensh1]

Crucial question: in 3rd integral 1. How do we deal with absolute value (from square root) 2. Why can't we cancel 1/tg with one secand; end up with sec^2*csc sub tg^2+1 end up with 2 integrals 1st of tg^2*csc equal to sin/cos^2 and u sub ad 2nd integral is just of csc

[@ShiroiTensh1]

After watching we end up in the same spot, but what's the deal?

[@afbarnes]

Wonderful video.

[@dyloniousmonk7644]

Could someone help me understand why we are able to make the cancellations at 11:03 ? Isnt that technically (sectan^2+sec)/tan ? How can we treat that as tan^2/tan and 1/tan ?

[@CarlosCavasRodríguez]

In the first integer you can just use x=t/a but it is a good example although

[@coldszn7119]

If I pass this math class, I’m gonna gift you another poke ball speaker

[@bprpcalculusbasics]

😆 thanks

[@wegojimmy]

did you?

[@emil.i8152]

Thank you!

[@akashbhatti5141]

Thank you sir

[@user-uf2vo7ov6y]

Thxxxxxxxxxxxxxxx 💞

[@mathevengers1131]

I love these videos.

[@user-wu8yq1rb9t]

There is a big problem; What about, as always, *that's it* ?!!

[@georgesadler7830]

Professor Black Pen Red Pen, thank you for the video. A Constant of Integration is needed after the integration is performed. Please correct this error in the video.

[@eseajidekpu7536]

U doin magic tricks now?

[@ayushivarma8040]

I request to you sir please teach us in Hindi🗿📝📝📝📝

[@cozmorules6983]

number 3 is big sad

[@bprpcalculusbasics]

Why?

[@holyshit922]

Substitutions for number 3 which avoid trigonometric functions u=sqrt(1+x^2) sqrt(1+x^2)=u-x sqrt(1+x^2)=ux-1