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Question
Evaluate:`int(tansqrtx)/sqrtxdx`
Solution
`"I" =int(tansqrtx)/sqrtxdx`
Put √x = t
`therefore (dx)/(2sqrtx)="dt"`
`therefore (dx)/(sqrtx)="2dt"`
∴ I = ∫ tan t 2dt
= 2log |sec t| + C
= 2log |sec √x| + C
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