數學關於積分ln原理?

2012-01-03 10:23 am
積分: 3^(x) dx

步驟唔該。

回答 (1)

2012-01-03 4:22 pm
✔ 最佳答案
Let y = 3^x
ln y = x ln 3
e^(ln y) = e^(x ln 3)
That is y = e^(x ln 3) = 3^x
so ∫ 3^x dx = ∫ e^(x ln 3) dx = ∫ e^(x ln 3) d(x ln 3)/ln 3 = e^(x ln 3)/ln 3 = 3^x/ln 3 + C.


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