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

$\frac{\sec\left(x\right)+\csc\left(x\right)}{1+\tan\left(x\right)}=\csc$

$\int\cos\left(4x-3\right)dx$

$\frac{d}{dx}x\sqrt{x^2+45}$

$1+e^{4\pi x}y=0$

$-6\sqrt{x}+\frac{3}{4}\sqrt{x}-\frac{1}{2}\sqrt{x}$

$4\left(6g\:-\:2\right)\:-\:\left(4g\:+\:6\right)\:$