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Question Number 23418 by tapan das last updated on 30/Oct/17

∫sec^2 (√x) /(√x) dx

$$\int\mathrm{sec}\:^{\mathrm{2}} \sqrt{\mathrm{x}}\:/\sqrt{\mathrm{x}}\:\mathrm{dx} \\ $$

Answered by $@ty@m last updated on 30/Oct/17

Assume (√x)=t & proceed.  Ans 2tan (√x)+C

$${Assume}\:\sqrt{{x}}={t}\:\&\:{proceed}. \\ $$$${Ans}\:\mathrm{2tan}\:\sqrt{{x}}+{C} \\ $$

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