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CIE 9231 2025 June Paper 24 Q2

A Level / CIE / FP2

CIE 9231 2025 June Paper 24 Paper · Question 2

题目

Problem

Find the exact value of

1521x22x+5dx,\int_{1}^{\frac{5}{2}} \frac{1}{\sqrt{x^2 - 2x + 5}}\,\mathrm{d}x,

giving your answer in logarithmic form.

[6]
题目中文翻译

1521x22x+5dx\int_{1}^{\frac{5}{2}} \frac{1}{\sqrt{x^2 - 2x + 5}}\,\mathrm{d}x

的精确值,并用对数形式给出答案。

解答