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int \ (e^(sqrt(x)))/(sqrt(x))dx...

`int \ (e^(sqrt(x)))/(sqrt(x))dx`

A

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

B

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

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Put `sqrt(x)=t and(1)/(2)x^((-1)/(2))dx=dtrArr(1)/(sqrt(x))dx=2dt`.
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