## anonymous 5 years ago integrate e^(sqrt x )

1. anonymous

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

2. anonymous

where a' is the derivative of a

3. L

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 *

4. anonymous

thanks

5. anonymous

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