Question

Integrate by substitution e^(y^(1/2))/y^(1/2)
Thanks!
Answer is 2e^(y^(1/2)) +C
I just can't get there

Answer 1

Hint:

Let u = y^(1/2)

so du/dx = (1/2)y^(-1/2) ---> du = 1/(2y^(1/2)) ---> 2*du = 1/(y^(1/2)) dx

Answer 2

so

int( e^(y^(1/2))/y^(1/2) dy )

turns into

int( 2*e^u*du )


oh btw, i meant to say dy not dx

Answer 3

which y^(1/2) is u representing the one in the denominator?