关于不定积分的几道题求下类的不定积分1.∫dx/(x+1)(x-2)2.∫x^2dx/(a^2-x^2)^1/2(a>0)3.∫dx/(x^2+1)^1/34.∫dx/1+(2x)^1/2
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![关于不定积分的几道题求下类的不定积分1.∫dx/(x+1)(x-2)2.∫x^2dx/(a^2-x^2)^1/2(a>0)3.∫dx/(x^2+1)^1/34.∫dx/1+(2x)^1/2](/uploads/image/z/3732550-70-0.jpg?t=%E5%85%B3%E4%BA%8E%E4%B8%8D%E5%AE%9A%E7%A7%AF%E5%88%86%E7%9A%84%E5%87%A0%E9%81%93%E9%A2%98%E6%B1%82%E4%B8%8B%E7%B1%BB%E7%9A%84%E4%B8%8D%E5%AE%9A%E7%A7%AF%E5%88%861.%E2%88%ABdx%2F%28x%2B1%29%28x-2%292.%E2%88%ABx%5E2dx%2F%28a%5E2-x%5E2%29%5E1%2F2%28a%3E0%293.%E2%88%ABdx%2F%28x%5E2%2B1%29%5E1%2F34.%E2%88%ABdx%2F1%2B%282x%29%5E1%2F2)
关于不定积分的几道题求下类的不定积分1.∫dx/(x+1)(x-2)2.∫x^2dx/(a^2-x^2)^1/2(a>0)3.∫dx/(x^2+1)^1/34.∫dx/1+(2x)^1/2
关于不定积分的几道题
求下类的不定积分
1.∫dx/(x+1)(x-2)
2.∫x^2dx/(a^2-x^2)^1/2(a>0)
3.∫dx/(x^2+1)^1/3
4.∫dx/1+(2x)^1/2
关于不定积分的几道题求下类的不定积分1.∫dx/(x+1)(x-2)2.∫x^2dx/(a^2-x^2)^1/2(a>0)3.∫dx/(x^2+1)^1/34.∫dx/1+(2x)^1/2
1.∫dx/(x+1)(x-2)=1/3∫[(x+1)/(x+1)(x-2)-(x-2)/(x+1)(x-2)]dx
=1/3∫1/(x-2)dx-1/3∫1/(x+1)dx
=1/3ln┃x-2┃-1/3ln┃x+1┃
=1/3ln┃(x-2)/(x+1)┃
现在都11点半了,真不好意思,我没时间做了