$2dy=4dx$

$-2-5x-6$

$\int-\left(\cot\left(x\right)\right)^5\left(\csc\left(x\right)\right)^2dx$

$\frac{6}{\left(x^2-5\right)\left(x^2+1\right)}$

$y^2\sin\left(x\right)dx+\cos^2\left(x\right)\cdot\ln\left(y\right)dy$

$\int\frac{1}{x^2-6x+13}dx$

$2\left(2x+5\right)-1$