INTEGRATION: INTEGRAL OF SIN^-1(x) + COS^-1(x) (1 Viewer)

[chocolatelatte]

THE TITLE SAYS IT ALLLL. how do i find it??
PLEASE HELP.
THANKS

 

[Squar3root]

arcsin(x) + arccos(x) = Pi/2

hence integrate Pi/2 which is Pi*x/2

 

[chocolatelatte]

sorrryyy but what does the arc stand for D:

 

[Squar3root]

arcsin = sin^-1(x)

 

[obliviousninja]

Lol get out

 

[chocolatelatte]

OHHH that makes sense. THANKS, but how do you know it equals pi on 2. could you elaborate please :'( thanks sooo much!!

 

[Squar3root]

it's an identity I guess?

 

[chocolatelatte]

O i c.. thanks!!
o so you just have to remember it.. well that's a bummer, i'd really love to know how you'd prove it tho

 

[Squar3root]

https://answers.yahoo.com/question/index?qid=20101117035527AA22Gmg

 

[SilentWaters]

If you recognize the identity , then the above is just a re-arrangement, in radians.

 

[FrankXie]

If the derivative of a function is identically zero, what can you say about the function ?

 

[Squar3root]

If the derivative of a function is identically zero, what can you say about the function ?

it must be a horizontal line

 

[FrankXie]

yep seems so, or the function is a constant function, i.e., the function value is the same for all x values.