[積分] 中興應數

[ivylan (藍藍)]

  1
∫  ln(1+x^2) dx = ?
  0

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※ 發信站: 批踢踢實業坊(ptt.cc) 
◆ From: 111.251.116.241
推 suhorng:∫ln(1+x^2dx=xln(1+x^2-∫x*2x/(1+x^2)dx
→ suhorng:∫x^2/(1+x^2)dx=∫(1 - 1/(1+x^2))dx
→ ivylan:謝謝!!