清考高数线代,有没有重点,亲们
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发布时间:2024-09-28 13:30
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热心网友
时间:2024-10-26 23:29
老师一般会划重点的。还有往年试题
热心网友
时间:2024-10-26 23:29
∫x/(x^8-1)dx
=∫1/2*(x/(x^4-1)-x/(x^4+1))dx
=1/2∫1/2*(x/(x^2-1)-x/(x^2+1))dx-1/2∫x/(x^4+1)dx
=1/4∫x/(x^2-1)dx-1/4∫x/(x^2+1)dx-1/2∫x/(x^4+1)dx
=1/8∫1/(x^2-1)d(x^2-1)-1/8∫1/(x^2+1)d(x^2+1)-1/4∫1/(x^4+1)d(x^2)
=1/8[ln|x^2-1|-ln(x^2+1)]-1/4arctanx^2+C
=1/8ln|(x^2-1)/(x^2+1)|-1/4arctanx^2+C