$$\[ 4 x^{2}+4 x+17 \equiv(2 x+p)^{2}+q \]$$ where $$\(p\)$$ and $$\(q\)$$ are integers. Given that $$\[ \frac{8 x+5}{\sqrt{4 x^{2}+4 x+17}} \equiv \frac{1}{\sqrt{4 x^{2}+4 x+17}}+\frac{A x+B}{\sqrt{4 x^{2}+4 x+17}} \]$$ where $$\(A\)$$ and $$\(B\)$$ are integers, (b) write down the value of $$\(A\)$$ and the value of $$\(B\)$$ (1)

Further Mathematics
IGCSE&ALevel
EDEXCEL
Exam No:wfm03-01-que-20240612 Year:2024 Question No:5(b)

Answer:

\(A=8, \quad B=4\)

Knowledge points:

4. Integration

Solution:

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