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F.5 DEFINITE INTEGRATION 1條
2012-01-30 8:50 am
回答 (1)
2012-01-30 4:55 pm
✔ 最佳答案
Using change of variable, d ( sec x) = tan x sec x dx.The integral becomes (tan^3 x/sec x)(d(sec x)/sec x tan x) = tan^2 x d(sec x)/sec^2 x
= (sec^2 x - 1)d(sec x)/sec^2 x
= (1 - 1/sec^2 x) d(sec x)
= sec x + 1/sec x + C
Substitute in the limit will be the answer of the definite integral.
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原文連結 [永久失效]:
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