Integration

2009-05-19 3:56 am
Integrate [(secx)^4 - (cscx)^4]^2 dx

Please show clear steps including changing variable.

Hints: [(secx)^4 - (cscx)^4]^2 dx = (secx)^8 - 2 (secx)^4 (secx)^2/(tanx)^2 + (secx)^4/(tanx)^4
更新1:

Ans: (tanx)^7 / 7 + 3 (tanx)^5 / 5 + (tanx)^3 / 3 - 3 tanx - (cotx)^3 / 3 + cotx + C

回答 (2)

2009-05-19 8:19 am
✔ 最佳答案

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參考: My Maths knowledge
2009-05-19 8:17 am
[(secx)^8 - 2 (secx)^4 (secx)^2]/(tanx)^2 + [(secx)^4/(tanx)^4]??


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