A smart way to avoid a lot of Inverse hassle?
Hi, Calculus is about logic & it's great because
if you figure out the underlay of specific things
you can sidestep memorizing a heckload of
To me the only hard thing is finding these tricks,
I'm specifically having a problem with integrating
inverse trigonometric functions.
For taking the derivative it's simple,
No memorizing whatever it is that litters up
the engineering book I foolishly bought.
However, for integrating these functions I don't see
the easy process.
Like, there are 6 functions all differing very slightly
and there's no way I'll be able to memorise them.
Every source I've checked tells me that because I know
the derivatives I can just reverse the process & copy
the form & write the integral. Yay!
Except, I'd have to go through up to a possible 6 side
calculations of derivatives to search out which
form my current integral is in so I can just magially
Is there no better way than rote memorization?
Is there no simple logical model to follow that
generalizes to all 6 functions like taking derivatives
of them all has?