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Evaluate: int1/(xsqrt(4-9(logx)^2))dx...

Evaluate: `int1/(xsqrt(4-9(logx)^2))dx`

Text Solution

Verified by Experts

We have given,
` int(dx)/(xsqrt(4-9(log x)^(2)))`
Now let `log x=t`
`implies(1)/(x)dx=dt`
So,
`int(dx)/(xsqrt(4-9(log x)^(2)))` `=int(dt)/(sqrt(4-9t^(2)))`
`=int(dt)/(sqrt(2^(2)-(3t)^(2)))`
...
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