Is ∫-1/√(1-x^2) equal to acos(x) and -1*asin(x)?

[Nikitin]

Since acos(x) = ∫-1/√(1-x^2), and asin(x) = ∫1/√(1-x^2), won't ∫-1/√(1-x^2) = acos(x) = -1*asin(x)?

 

[jedishrfu]

arcsin x + arccos x = pi/2

so I think what you have is wrong, check again.

 

[Nikitin]

I doublechecked, but I still can't find my error..

 

[Millennial]

Nikitin, is there any chance that you are forgetting the constant of integration?

 

[Nikitin]

oops, yeh, true :p

sorry, I had a brainfart due to 3 weeks of exams