1/(x+x3)在积分区间为[1,x3是x的立方的意思
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![1/(x+x3)在积分区间为[1,x3是x的立方的意思](/uploads/image/z/10362776-32-6.jpg?t=1%2F%28x%2Bx3%29%E5%9C%A8%E7%A7%AF%E5%88%86%E5%8C%BA%E9%97%B4%E4%B8%BA%5B1%2Cx3%E6%98%AFx%E7%9A%84%E7%AB%8B%E6%96%B9%E7%9A%84%E6%84%8F%E6%80%9D)
1/(x+x3)在积分区间为[1,x3是x的立方的意思
1/(x+x3)在积分区间为[1,
x3是x的立方的意思
1/(x+x3)在积分区间为[1,x3是x的立方的意思
可以这样想啊
1/(x+x^3)=(x^2+1)/(x+x^3)-x^2/(x+x^3)=1/x-x/(x^2+1)
∫1/(x+x^3)dx=Inx-1/2∫1/(x^2+1)d(x^2+1)
=Inx-1/2In(x^2+1)
取[1,2]时,原式=In2-In1-1/2(In5-In2)
=3/2In2-1/2In5
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