Edexcel C2 — Question 2 7 marks

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Marks7
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TopicIndices and Surds
TypeExpand and simplify surd expressions
DifficultyModerate -0.3 Part (a) is a straightforward expansion using (a+b)² requiring basic surd manipulation. Part (b) involves integrating the expanded form with fractional powers, which is routine C2 integration, though the exact answer requirement adds minor complexity. Overall slightly easier than average due to the guided structure and standard techniques.
Spec1.08b Integrate x^n: where n != -1 and sums1.08d Evaluate definite integrals: between limits

2. (a) Expand \(( 2 \sqrt { } x + 3 ) ^ { 2 }\).
(b) Hence evaluate \(\int _ { 1 } ^ { 2 } ( 2 \sqrt { } x + 3 ) ^ { 2 } \mathrm {~d} x\), giving your answer in the form \(a + b \sqrt { } 2\), where \(a\) and \(b\) are integers.

2. (a) Expand $( 2 \sqrt { } x + 3 ) ^ { 2 }$.\\
(b) Hence evaluate $\int _ { 1 } ^ { 2 } ( 2 \sqrt { } x + 3 ) ^ { 2 } \mathrm {~d} x$, giving your answer in the form $a + b \sqrt { } 2$, where $a$ and $b$ are integers.\\

\hfill \mbox{\textit{Edexcel C2  Q2 [7]}}