Dick said:Try a u substitution u=(1-x^2).
The integral of arcsin x is the inverse of the derivative of sine. It is the function that, when differentiated, gives the original function arcsin x.
To solve the integral of arcsin x, you can use the integration by parts method or use substitution by letting u = arcsin x. You can also use a table of integrals to find the solution.
The domain of the integral of arcsin x is the same as the domain of the original function arcsin x, which is [-1, 1]. This is because arcsin x is only defined for values between -1 and 1.
Yes, the integral of arcsin x can be expressed in terms of other functions such as logarithmic, exponential, and trigonometric functions. However, the exact form of the integral may vary depending on the method used to solve it.
The integral of arcsin x and the integral of sin x are related by the inverse trigonometric identity. This means that the integral of arcsin x can be expressed in terms of the integral of sin x, and vice versa, by using the inverse trigonometric function.