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Abbie23
What is an easy way to remember Inverse Trigonometric? :)
the graph? derivative? integral?
I think making EASY is Learn by heart or make short forms
She said inverse trig, not trig...
arc and -1 mean inverse.
@Abbie23 you should I think making EASY is Learn by heart or make short forms
well, i think that it is better to understand..
uh, \[{[\sin x]^{-1\neq} \sin^{-1} }x\]
oops, that not equal sign shouldn't be in the exponent lol
Sorry guys I didn't clarify :( I forgot to put integral :)
Ok, so integral of inverse trig functions or the integrals of their derivatives?
You're going to have to do it using integral by parts.
There's no straight memorization that will save you. You're prone to error that way.
What form are you used to:\[\int\limits_{a}^{b}f(x)g'(x)dx\] or \[\int\limits_{a}^{b}u {dv}\]?
@Abbie23 , I don't have those down myself.
But, I don't think memorization would be a good idea unless it is required for a test...
@inkyvoyd Even then, they can be derived quickly.
You just need to know the derivatives of the inverse functions.
And those can also be derived.
@roadjester , if you're self-studying calc like me, how do you suggest how to memorize these?
You would need to basically have something to look at really. I could probably derive all 24 trig functions for you, but I would need time.
I'd also need a scanner...
@roadjester , can you just show me how to do the hardest one? (if these is a harder one)
@inkyvoyd Let me make this very clear. I said that there are 24 trig functions. However, you may not know all of them yet, especially if you’re self-teaching yourself. You have the six basic trigs, the inverse of those six trigs, the six hyperbolic trigs, and the six inverse hyperbolic trigs. If you can integrate sine, cosine, and functions in the form of du/u (u-substitution) and possibly integration by parts, you’re pretty much set.
@roadjester , i figured out the integrals of the inverse
you forgot the guad functions, and the haversin etc functions trolol.