Question

what is integration of sin inverse of x​ and derivative of sin inverse of x

Answer 1

Answer:

Step-by-step explanation:

let us assume y=sin inverse x

which means x=sin y

differentiate with respect to y

dx/dy=cosy

dx/dy=root 1- sin^2(y)

dx/dy=root 1-(sin y)^2

dx/dy=root 1-x^2

dy/dx=1/root 1-x^2

from above

dy=dx/root 1-x^2

integrating both sides

y=ln(root (1-x^2) )+c