急 求這題數學怎麼算?
回答 (1)
2020-12-30 5:45 pm
✔ 最佳答案
繞 y 軸, shell method, 公式:V = ∫_I 2πx(y2-y1) dx
x ≧ 0, y1 = y2 <==> x = 1
∴ I = [0,1]
∴ V = ∫_[0,1] 2πx(2-x-x^2) dx
= 2π{x^2-x^3/3-x^4/4}_[0,1]
= 2π(1-1/3-1/4)
= 5π/6
收錄日期: 2021-05-04 02:32:09
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20201230085400AALgudn