حل cos3xdx/4+sin3x

$$\frac { \cos 3 x d x } { 4 + \sin 3 x }$$

تقييم

$$\frac{\cos(dx^{2})\left(\left(\cos(dx^{2})\right)^{2}-3\left(\sin(dx^{2})\right)^{2}\right)}{3\sin(x)\left(\cos(x)\right)^{2}-\left(\sin(x)\right)^{3}+4}$$

تفاضل w.r.t. x

$$\frac{3\left(-2dx\left(\sin(x)\sin(dx^{2})\right)^{3}-18dx\sin(x)\sin(dx^{2})\left(\cos(x)\cos(dx^{2})\right)^{2}-\left(\cos(x)\cos(dx^{2})\right)^{3}-9\cos(x)\cos(dx^{2})\left(\sin(x)\sin(dx^{2})\right)^{2}+6dx\left(\sin(x)\right)^{3}\sin(dx^{2})\left(\cos(dx^{2})\right)^{2}+6dx\sin(x)\left(\cos(x)\right)^{2}\left(\sin(dx^{2})\right)^{3}+3\left(\cos(x)\right)^{3}\cos(dx^{2})\left(\sin(dx^{2})\right)^{2}+3\cos(x)\left(\sin(x)\right)^{2}\left(\cos(dx^{2})\right)^{3}-24dx\sin(dx^{2})\left(\cos(dx^{2})\right)^{2}+8dx\left(\sin(dx^{2})\right)^{3}\right)}{\left(3\sin(x)\left(\cos(x)\right)^{2}-\left(\sin(x)\right)^{3}+4\right)^{2}}$$