Question

∫cos^-1x dx/√ 1-x^2
let,cos^-1x=z
or,d/dx cos^-1x=dz/dx
or,-1/√ 1-x^2=dz/dx
or,dx/√ 1-x^2=-dz
So,∫cos^-1x dx/√ 1-x^2=∫z . -dz=-∫z dz=- z^1+1/1+1+c=-z^2/2+c=-(cos^-1x)^2/2+c is this the answer?

Answer 1

yes, you're absolutely correct this time too :)

Answer 2

Thank you :)

Answer 3

welcome ^_^

Answer 4

^_^