(6x+5)/(x^2+4)的不定积分

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(6x+5)/(x^2+4)的不定积分(6x+5)/(x^2+4)的不定积分(6x+5)/(x^2+4)的不定积分分离变量,再凑微分∫[(6x+5)/(x²+4)]dx=∫[6x/(x

(6x+5)/(x^2+4)的不定积分
(6x+5)/(x^2+4)的不定积分

(6x+5)/(x^2+4)的不定积分

分离变量,再凑微分
∫[(6x+5)/(x²+4)]dx
=∫[6x/(x²+4)]dx+∫[5/(x²+4)]dx
=∫[3/(x²+4)]d(x²+4)+∫[5/(x²+4)]dx
=3ln(x²+4)+(5/2)arctan(x/2)+C