$\lim_{x\to\infty}\left(1-\cos\left(\frac{14}{x}\right)\right)^{x^2}$

$\left(x^2+19\right)\left(x-3\right)$

$2\left(x+5\right)-4\left(x-8\right)=3\left(x-1\right)$

$\frac{d}{dx}\sqrt{x\frac{1}{x+1}}$

$\int e^{15x+10}dx$

$\int_2^{\infty}\left(\frac{0.5\cdot x}{1+x^2}-\frac{1}{2\cdot x+1}\right)dx$

$\int\frac{\left(x^2+4x-1\right)}{\left(x^3-x\right)}dx$