" 2.3."(sin^(-1)x)/(sqrt(1-x^(2)))

If y=(x sin^(-1)x)/(sqrt(1-x^(2)))+log sqrt(1-x^(2)), then prove that (dy)/(dx)=(sin^(-1)x)/((1-x^(2))^((3)/(2)))

int_((1)/(3))^(3)((sin^(-1))(((x)/(sqrt(1+x^(2))))))/(x)dx

int _(1//3) ^(3 ) (sin^(-1) (x))/(sqrt(1- x ^(2)) dx

The value of the integral inte^(3sin^(-1)x)((1)/(sqrt(1-x^(2)))+e^(3cos^(-1)x))dx is equal to (where, c is an arbitrary constant)

The value of the integral inte^(3sin^(-1)x)((1)/(sqrt(1-x^(2)))+e^(3cos^(-1)x))dx is equal to (where, c is an arbitrary constant)

The value of the integral inte^(3sin^(-1)x)((1)/(sqrt(1-x^(2)))+e^(3cos^(-1)x))dx is equal to (2e^(3sin^(-1)x))/lamda + xe^(3pi/2)+c where lamda=

int((sin^(-1)x)^(3))/(sqrt(1-x^(2)))dx

If y = (x sin^(-1) x)/(sqrt(1 - x^2)) + "log" sqrt(1 - x^2) , prove that (dy)/(dx) = (sin^(-1)x)/((1 - x^2)^(3//2))

Find the greatest & least value of f(x)=sin^(-1).(x)/(sqrt(x^(2)+1))-ln x in [(1)/(sqrt(3)), sqrt(3)] .

Differentiate sin^(-1) [(3x+(4sqrt(1-x^(2))))/(5)] w.r.t.x .