Evaluate: (i) `int(sin(logx)/x\ dx` (ii) `int(e^mtan^((-1)x))/(1+x^2)\ dx`

Explanation

(i)
`int frac{sin (log x)}{x} d x `

`text { Let } log x=t `

`Rightarrow frac{1}{x} d x=d t `

`Now, int frac{sin (log x)}{x} d x `

`=int sin (t) d t `

`=-cos (t)+C `

`=-cos (log x)+C`


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