Find the integral of 1/(Sin5x+Cos5x) Share with your friends Share 0 Kumar Prabhat answered this Dear student, ∫1sin5 x+cos5 x dx cannot be found upto class 12 level. We can find I = ∫1sin 5x+cos 5x dx Let 5x=t ⇒5 dx=dt I=15∫dtsin t+cos t ⇒I=1512∫112sin t+12cos t dt =1512∫1sinπ4sin t+cosπ4cos t dt =152∫1cost-π4 dt=152∫sec t-π4 dt =152logtan π4+t-π42+C=152logtan π+4t8+C 152logtan π+20x8+C since, t=5x 1 View Full Answer