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

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The integral in this case is \[\frac{1}{a'}* e^a\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0where a' is the derivative of a

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Let 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 (t1) . 2 , t = sqrt_x as above *

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0by parts yes? \[\int e^{\sqrt{x}}dx=2(\sqrt{x}1)e^{\sqrt{x}}\]
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