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inte^(sqrt(x))dx=?...

`inte^(sqrt(x))dx=?`

A

`e^(sqrt(x))+sqrt(x)+C`

B

`(1)/(2)e^(sqrt(x))(sqrt(x)+1)+C`

C

`2e^(sqrt(x))(sqrt(x)-1)+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Putting `sqrt(x)=t and(1)/(2sqrt(x))dx=dt," we get "I=2intunderset(I)(t)underset(" "II)(" "e^(t))dt`
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