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Question Number 94510 by i jagooll last updated on 19/May/20

∫ ((√(tan x))/(sin x.cos x))dx

$$\int\:\frac{\sqrt{\mathrm{tan}\:{x}}}{\mathrm{sin}\:{x}.\mathrm{cos}\:{x}}{dx}\: \\ $$

Commented by PRITHWISH SEN 2 last updated on 19/May/20

∫((sec^2 x.(√(tanx)))/(tan x)) dx  now put tanx=t^2   ∫2dt=2(√)tanx+C  yes sir I fix it.Thamk you

$$\int\frac{\mathrm{sec}^{\mathrm{2}} \mathrm{x}.\sqrt{\mathrm{tanx}}}{\mathrm{tan}\:\mathrm{x}}\:\mathrm{dx}\:\:\mathrm{now}\:\mathrm{put}\:\mathrm{tanx}=\mathrm{t}^{\mathrm{2}} \\ $$$$\int\mathrm{2dt}=\mathrm{2}\sqrt{}\mathrm{tanx}+\mathrm{C}\:\:\mathrm{yes}\:\mathrm{sir}\:\mathrm{I}\:\mathrm{fix}\:\mathrm{it}.\mathrm{Thamk}\:\mathrm{you} \\ $$

Commented by john santu last updated on 19/May/20

∫ 2dt = 2t + c = 2(√(tan x)) + c

$$\int\:\mathrm{2dt}\:=\:\mathrm{2t}\:+\:\mathrm{c}\:=\:\mathrm{2}\sqrt{\mathrm{tan}\:\mathrm{x}}\:+\:\mathrm{c}\: \\ $$

Commented by i jagooll last updated on 19/May/20

typo sir Pritwish  2(√(tan x)) + c

$$\mathrm{typo}\:\mathrm{sir}\:\mathrm{Pritwish} \\ $$$$\mathrm{2}\sqrt{\mathrm{tan}\:\mathrm{x}}\:+\:\mathrm{c}\: \\ $$

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