高等数学求原函数!不定积分,4和7题
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高等数学求原函数!不定积分,4和7题
高等数学求原函数!不定积分,4和7题
高等数学求原函数!不定积分,4和7题
4、原式=∫[x^(3/2)+x+3x^(-1/2)]dx
=(2/5)*x^(5/2)+(1/2)*x^2+6x^(1/2)+C
7、原式=∫[1/x+1/(1+x^2)]dx
=ln|x|+arctanx+C
4)原式=∫[x^1.5+x+3x^(-0.5)]dx
=0.4x^2.5+0.5x^2+6x^(0.5)+C
5)原式=∫[x+(1+x^2)]/[x(1+x^2)]dx
=∫[1/(1+x^2)+1/x]dx
=arctanx+ln|x|+C