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Integrate the following int(dx)/(x{(Inx)...

Integrate the following `int(dx)/(x{(Inx)^2+25}`

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`int(dx)/(x{(Inx)^2+25}`
[ put `Inx=5tantheta` then `(1/x)dx=5sec^2thetad theta`
`int(5sec^2theta d theta)/(25+25tan^2theta)`
`(1/5)int(sec^2theta)/seca^2theta d theta=(1/5)intd theta`
`(1/5)tan^(-1)(Inx/5)+C`
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