IB MAI HL Calculus Topic 5.2 Integration (id: f7f9097ce)

本题目来源于试卷: IB MAI HL Calculus Topic 5.2 Integration，类别为 IB数学

[填空题]
The following diagram showsssq 0m+.fgqch . 5m3rm xsv. s2,ony 4y3gf.enthe graph of f(x)=$\frac{4x}{x^2+1}$ , for $0\le x\le 6$ , and the line x=6 .

Let R be the region enclosed by the graph of f , the x -axis and the line x=6 .
1. Show that $\int f(x)\mathrm{d}x=2\ln (x^2+1)+C$ .
2. The exact value for the area of the region R is $\ln k$ , where k is a positive integer. Find the value of k is   .

参考答案: 1369


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