∫ sec(2x)tan(2x)/sqrt{1-sec(2x) wrt x का समाधान करें

$$\int{ \frac{ \sec ( 2x ) \tan ( 2x ) }{ \sqrt{ 1 } - \sec ( 2x ) } }d x$$

मूल्यांकन करें

$$\frac{\ln(|\cos(x)-\sin(x)||\sin(x)+\cos(x)|)}{2}-\frac{\ln(\left(\sin(x)\right)^{2})}{2}-\frac{\ln(2)}{2}+С$$

w.r.t. x घटाएँ

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