S1/(sinx+cosx)dx积分区间0到1/2派=根2*Ssec(x-pi/4)d(x-pi/4)=根2*ln|tan(x/2+pi/8)积分区间0到1/2派=根2*(lntan3pi/8-lntanpi/8)
∫1/(sinx+cosx)dx=√2∫1/(sin(x+45°))d(x+45°)=√2(-cot(x+45°)*csc(x+45°))+c