Given that \(u = 2 ^ { x }\), write down an expression for \(\frac { \mathrm { d } u } { \mathrm {~d} x }\)
8
Find the exact value of \(\int _ { 0 } ^ { 1 } 2 ^ { x } \sqrt { 3 + 2 ^ { x } } \mathrm {~d} x\)
Fully justify your answer. [0pt]
[6 marks]
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