Question

integrate e^(sqrt x )

Answer 1

The integral in this case is
\[\frac{1}{a'}* e^a\]

Answer 2

where a' is the derivative of a

Answer 3

Let t = sqrt(x)

So dx = 2.t.dt

Integrate 2 . e^t . t . dt

u = 2t dv = e^t dt
-> du = 2dt v = e^t
-> integral(2e^t t dt) = 2 t e^t - integral(2 e^t dt)
= 2 t e^t - 2 e^t
= e^t (t-1) . 2 , t = sqrt_x as above

*

Answer 4

thanks

Answer 5

by parts yes?
\[\int e^{\sqrt{x}}dx=2(\sqrt{x}-1)e^{\sqrt{x}}\]