Question
Differentiate the following w.r.t. x:
$\sin ^2\left[\cot ^{-1}\left(\sqrt{\frac{1+x}{1-x}}\right)\right]$
$\sin ^2\left[\cot ^{-1}\left(\sqrt{\frac{1+x}{1-x}}\right)\right]$
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$\left[\begin{array}{lll}\bar{a} \bar{b} \bar{d}\end{array}\right]+\left[\begin{array}{lll}\bar{b} & \bar{c} & \bar{d}\end{array}\right]+\left[\begin{array}{lll}\bar{c} & \bar{a} & \bar{d}\end{array}\right]=\left[\begin{array}{ll}\bar{a} \bar{b} & \bar{c}\end{array}\right]$
$\int \frac{3 x+4}{x^2+6 x+5} d x$