$\sin\left(x-\pi\right)=\sin\left(x\right)$

$\int4x\cdot cos\left(12x\right)dx$

$\frac{d}{dx}-\frac{y}{x-2y}$

$\int7\left(7x+28\right)^5dx$

$\int\frac{2ax}{\left(ax^2+b\right)\ln\left(ax^2+b\right)}dx$

$104\:-\:-4$

$\left(\frac{1}{2}-\frac{1}{2}\cos\left(2x\right)\right)^2$