$\lim_{x\to\frac{\pi}{6}}\left(\frac{\sin^2x}{\sec\frac{x}{2}}\right)$

$y2y-4y-6$

$\lim_{x\to1}\left(\frac{\arctan\left(x\right)}{\arccos\left(x\right)}\right)$

$\lim_{x\to\infty}\left(\ln4x-\ln\left(x+5\right)\right)$

$\int\left(x\right)^5\cos\left(13x\right)dx$

$\left(x^3+5x^2+x\right)^3$

$\frac{dy}{dx}=e^{4x+7y}$