MX2 Integration Marathon (7 Viewers)

[stupid_girl]

 

[CM_Tutor]

isn't the integrand function undefined at ?

 

[stupid_girl]

isn't the integrand function undefined at ?

Yes, there is a removable singularity at x=0.
If you want to do it more rigourously, you may treat the integrand as a piecewise continuous function.

 

[pikachu975]

In high school I thought these were too hard and I still think they're too hard LMAO

 

[stupid_girl]

 

[idkkdi]

is this like a reverse chain + product rule integral or smth.

 

[stupid_girl]

is this like a reverse chain + product rule integral or smth.

It's not my approach but you may try if it also works.

Spoiler

Judging from the upper and lower bounds, it may be a good idea to try the substitution u=1/x.

 

[idkkdi]

It's not my approach but you may try if it also works.

Spoiler

Judging from the upper and lower bounds, it may be a good idea to try the substitution u=1/x.

do u just randomly make integrals for your own satisfaction?

 

[Paradoxica]

do u just randomly make integrals for your own satisfaction?

you don't?

 

[stupid_girl]

Feel free to share your attempt.

 

[stupid_girl]

 

[Jason Pham]

I’m quite stuck with this question, been doing for week. Pretty appreciate your help

 

[Jason Pham]

 

[Jason Pham]

Hopefully I can introduce you another approach which is pure substitution and differential integration that I’m developing. However i need to prepare for trials atm!

 

[quickoats]

I’m quite stuck with this question, been doing for week. Pretty appreciate your help

Use the fact that for with equality holding for all x iff f(x) = 0.

 

[quickoats]

Note that so some of your working is incorrect.

 

[Jason Pham]

Use the fact that for with equality holding for all x iff f(x) = 0.

I see I’ll check. Cuz i later figured out it’s Rolle theorem. Thank you, I’ll check them out

 

[Jason Pham]

Note that so some of your working is incorrect.

I see, yeah i just realized. Thank you, I’ll fix it

 

[stupid_girl]

Hopefully I can introduce you another approach which is pure substitution and differential integration that I’m developing. However i need to prepare for trials atm!

Looking forward to your approach.

 

[Paradoxica]

i like how this is just a reskin of the BOS Trials' cancerous arctangent integral