$\int\frac{sin\left(42x\right)}{1+cos^2\left(42x\right)}dx$

$4x-6x$

$\lim_{x\to\infty}\left(1+3x\right)^{\frac{x}{2}}$

$y\:=\:3\:\left(\:x\:+\:5\:\right)\:\left(\:x\:-\:2\:\right)$

$y'=2+\sqrt{y-2x+6}$

$\int\:\sqrt{1+\left(3x^{\frac{1}{2}}\right)}dx$

$\left(2x^2+1\right)^3\cdot\left(\sqrt{\left(x^2-1\right)}\right)$