Question

∫e^asin^-1x dx/√ 1-x^2
let,e^asin^-1x=z
or,d/dx e^asin^-1x=dz/dx
or,e^asin^-1x *a/√ 1-x^2=dz/dx
or,z.a/√ 1-x^2=dz/dx
or,dx/√ 1-x^2=dz/az

now, ∫e^asin^-1x dx/√ 1-x^2= 1/a∫z.dz/z=1/a∫dz(1)=1/a(z+c)=e^asin^-1x/a +c
Is this correct?

Answer 1

YES!
absolutely correct :)

Answer 2

thank you very much.. :)

Answer 3

welcome ^_^

Answer 4

^_^