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

$\left(3x+4y\right)\cdot\left(2x-8y+3\right)$

$\ln\left(y\right)=\ln\left(x^{8\cos\left(x\right)}\right)$

$5+2\cdot11$

$\lim_{t\to-7}\left(\frac{t^2+4t-21}{t-7}\right)$

$2arctan\sqrt{\frac{\left(1-x\right)}{x}}+arcsin\left(2x-1\right)$

$\frac{\sin\left(x+\frac{\pi}{2}\right)}{\cot\left(x\right)}$