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Evaluate : int(e^(logsqrt(x)))/xdx...

Evaluate : `int(e^(logsqrt(x)))/xdx`

Text Solution

Verified by Experts

I=`int(e^(logsqrt(x)))/xdx`
Let, logx=t
`dx/x=dt`
I=`int(e^(logsqrt(x)))/xdx`
=`∫e^(t/2)​dt`
= `1/2​.e^(t/2)​+C`
= `1/2​.e^(logx/2)​+C`
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