$\int\left(\frac{\csc^2\left(\sqrt{x}\right)\cot\:\left(\sqrt{x}\right)}{\sqrt{x}}\right)dx$

$\int\left(9x\cos\left(4x\right)\right)dx$

$\frac{\sin\left(6x\right)-\sin\left(4x\right)}{\cos\left(6x\right)-\cos\left(2x\right)}$

$14\pi\int_0^2\left(e^{-x}x^2\right)dx$

$5.55-33$

$\lim_{x\to\infty}\left(\frac{\sqrt{\left(4x^4-x\right)}}{2x^2+1}\right)$