Question
Differentiate the following w. r. t. x.$\sin ^{-1}\left(\frac{5 \sqrt{1-x^2}-12 x}{13}\right)$
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$x=\left(t+\frac{1}{t}\right)^a, y=a^{t+\frac{1}{t}}$, where $a>0, a \neq 1$ and $t \neq 0$
$\int \frac{1}{2 \sin 2 x-3} \cdot d x$
$\tan ^{-1}\left(\frac{2 \sqrt{x}}{1+3 x}\right)$