题目内容
(请给出正确答案)
[主观题]
计算不定积分∫J3(r)dr;
∫J3(r)dr;
答案
应用递推公式d[x-nJn(x)]=-x-nJn+1(x)dx及分部积分法可有
I=∫J3(r)dr=∫r2.r-2J3(r)dr=-∫ r2d[r-2J2(r)]
=-r2.r-2J2J3-2∫r.r-2J2(r)dr
应用递推公式d[x-nJn(x)]=-x-nJn+1(x)dx及分部积分法可有I=∫J3(r)dr=∫r2.r-2J3(r)dr=-∫r2d[r-2J2(r)]=-r2.r-2J2J3-2∫r.r-2J2(r)dr
应用递推公式d[x-nJn(x)]=-x-nJn+1(x)dx及分部积分法可有I=∫J3(r)dr=∫r2.r-2J3(r)dr=-∫r2d[r-2J2(r)]=-r2.r-2J2J3-2∫r.r-2J2(r)dr
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