Calculus 2: how to NOT do partial fractions for the integrals (2 examples)

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[Alex-kphd]

¨The best way to do partial fractions is not to do partial fractions¨

A very smart man

[person]

any partial fraction problem can be done by multiplying the top and bottom by a specific expression (but it’s very hard to find the expression without knowing the solution)

[neilgerace]

STRANGE GAME. THE ONLY WAY TO WIN IS NOT TO PLAY.

[davidbrisbane]

You know, sometimes integration just looks like a magic trick.

[longsteinpufferbatch]

Feels good when you get both the questions right without seeing the solution with a different approach.

Ok I admit my approach with the first one was almost same. Good video :)

[edgarb.]

The well chosen 1 and 0, my favorite algebra trick.

[overlordprincekhan]

When someone uses 100% of their brain:

[Ivan-goyk]

No way 😂😂... You made it so simple .. you are actually re-writing history!!... Thank you Sensei!!

[alberteinstein]

Yay I was able to guess that a hyperbolic function was involved!!!! I had also guessed that it was inverse tangent hyperbolic!

I’ve never learned about hyperbolics, could you please make a video on them???

[wuyqrbt]

The sound of the your marker pen (who it fell down) is just as enjoyable as the sound of the Shell in the matrix movie to me; because I love both of you (Matrix and bprp)

[iSustainnn]

Just wow. Thank you so much for this. Now I can solved DE equations with partial fractions without being afraid that I might not finish the exam.

[pilotomeuepiculiares]

As someone who hates partial fractions I appreciate so much this video.

[Jashinsama]

If you hold that pokemon then you can solve any difficult problem in Calculus .That Pokemon is giving him much power to solve any math problem.

[lucaslucas]

The answer to the first one is only defined between x=-1 and x=1 no? Would be interesting to see the solutions outside this bound, they will of course be independant of each other but still

[huntercornwell]

Hyperbolic trig functions weren’t covered very much in my Calc 1 and 2 classes (currently in Calc 2, textbook is ETF 7e, just got done with improper integrals and partial fractions). I think I’ll just stick with partial fractions

[daeithebest]

This is pure beauty when an established method can be avoided by just doing algebraic stuff to make the expression go easier to calculate.

[vkvishalk]

Already knew this, , GB sir taught this in his class.!

[eshtiak]

Can i do something else to the first one without adding Hyperbolic Function? And no partial function

[yunghollow]

For me, everything in math is cool until some trigonometry functions decide to get involved.

[sandglass]

Just for fun... Could you do the integral of (x^2+1)^2/(1+x^6)dx in thirty seconds? V: