What is an easy way to remember Inverse Trigonometric? :)

- anonymous

What is an easy way to remember Inverse Trigonometric? :)

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- schrodinger

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- roadjester

meaning?

- roadjester

the graph? derivative? integral?

- anonymous

I think making EASY is Learn by heart or make short forms

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- anonymous

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- anonymous

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- roadjester

She said inverse trig, not trig...

- inkyvoyd

arc and -1 mean inverse.

- anonymous

@Abbie23 you should I think making EASY is Learn by heart or make short forms

- Mimi_x3

well, i think that it is better to understand..

- roadjester

uh, \[{[\sin x]^{-1\neq} \sin^{-1} }x\]

- roadjester

oops, that not equal sign shouldn't be in the exponent lol

- anonymous

Sorry guys I didn't clarify :(
I forgot to put integral :)

- roadjester

Ok, so integral of inverse trig functions or the integrals of their derivatives?

- roadjester

You're going to have to do it using integral by parts.

- roadjester

There's no straight memorization that will save you. You're prone to error that way.

- roadjester

What form are you used to:\[\int\limits_{a}^{b}f(x)g'(x)dx\] or \[\int\limits_{a}^{b}u {dv}\]?

- inkyvoyd

@Abbie23 , I don't have those down myself.

- inkyvoyd

But, I don't think memorization would be a good idea unless it is required for a test...

- roadjester

@inkyvoyd Even then, they can be derived quickly.

- roadjester

You just need to know the derivatives of the inverse functions.

- roadjester

And those can also be derived.

- inkyvoyd

@roadjester , if you're self-studying calc like me, how do you suggest how to memorize these?

- inkyvoyd

*get these

- roadjester

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.

- roadjester

I'd also need a scanner...

- inkyvoyd

@roadjester , can you just show me how to do the hardest one? (if these is a harder one)

- roadjester

@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.

- inkyvoyd

@roadjester , i figured out the integrals of the inverse

- inkyvoyd

normal trigs

- inkyvoyd

you forgot the guad functions, and the haversin etc functions trolol.

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