logecos(θ+π4)+c\log _{e} \cos \left(\theta+\frac{\pi}{4}\right)+clogecos(θ+4π)+c
logesin(θ−π4)+c\log _{e} \sin \left(\theta-\frac{\pi}{4}\right)+clogesin(θ−4π)+c
logesec(θ+π4)+c\log _{e} \sec \left(\theta+\frac{\pi}{4}\right)+clogesec(θ+4π)+c
logecosec(θ+π4)+c\log _{e} \operatorname{cosec}\left(\theta+\frac{\pi}{4}\right)+clogecosec(θ+4π)+c
logesin2θ+c\log _{e} \sin 2 \theta+clogesin2θ+c