The formula for the integral of inverse trig functions is ∫(dx)/(√(1-x²)) = sin⁻¹x + C.
The constant C represents the unknown constant of integration and is added to the result of the integral to account for all possible solutions.
No, the integral of inverse trig functions is only defined for certain values of x. For example, the integral of arctan(x) is only defined for values of x between -1 and 1.
To solve integrals of inverse hyperbolic functions, you can use the substitution method. This involves substituting the inverse hyperbolic function with its equivalent logarithmic expression and then using integration techniques to solve the resulting equation.
Inverse trig and inverse hyperbolic functions are related through the complex logarithm. Inverse trig functions are defined using the inverse of the circular functions, while inverse hyperbolic functions are defined using the inverse of the hyperbolic functions.