cosxsinxcosx的精选

cosx/sinx+cosx的不定积分是：∫(sinxcosx)/(sinx+cosx)dx=(1/2)(-cosx+sinx)-[1/(2√2)]ln|csc(x+π/4)-cot(x+π/4)|+C。C为积分常数。解答过程如下：∫(sinxcosx)/(sinx+cosx)dx=(1/2)∫(2sinxcosx)/(sinx+cosx)dx=(1/...