Question 11 - A-Level Maths

Exam Board	SPS
Module	SPS FM Pure (SPS FM Pure)
Year	2021
Session	June
Marks	1
Topic	Standard Integrals and Reverse Chain Rule

11.

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