$\frac{\sin\left(5x\right)+2\sin\left(x\right)\cos\left(x\right)-\sin\left(x\right)}{\sin\left(2x\right)}$

$\int\frac{x^2-4x-17}{\left(x^2+1\right)\left(x-1\right)}dx$

$5\log_p\left(s\right)+\frac{1}{2}\log_p\left(y\right)-\frac{3}{2}\log_p\left(x\right)-5\log_p\left(a\right)$

$y^2-74-30$

$\int_0^{2\pi}\left(\frac{\left(cosx\right)}{\sqrt{4+3sinx}}\right)dx$

$\frac{dy}{dx}=\left(8x^3-5\right).\:y^2$

$\int_{-1}^1\frac{1}{1+t^2}dt$