integrate dx/rootover(sin x cos^7 x)plz help

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4 Jul 2009 22:32:01 IST

Subject: integrate dx/rootover(sin x cos^7 x)plz help

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just by doing little rearrangement we have ,

$I=\int\frac{sec^4x\ dx}{\sqrt{tanx}}$

now, put tanx = t

$I=\int\frac{(1+t^2)\ dt}{\sqrt{t}}$

$I=2\sqrt{tanx}(1+\frac{tan^2x}{5})+C$

all's well that end's well, but if it dosen't, then it is not the end . . .

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