题目
题目

MUF0102 Adv. Mathematics Unit 2 - Semester 2, 2025 2.10 integration techniques quiz

单项选择题

Using a suitable substitution, \( \int_{1}^{2} \frac{1}{x\sqrt{2x-1}} {dx} \) can be expressed in terms of \( u \) as:

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标准答案
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思路分析
Consider the integral I = ∫ from x=1 to x=2 of 1/( x * sqrt(2x-1) ) dx. To express this in terms of a new variable u, try the substitution u = 2x - 1. Then du = 2 dx, so dx = du/2. When x ......Login to view full explanation

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