OCR C3 2012 June — Question 4

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2012
SessionJune
TopicIntegration by Substitution
4
  1. Show that \(\int _ { 0 } ^ { 4 } \frac { 18 } { \sqrt { 6 x + 1 } } \mathrm {~d} x = 24\).
  2. Find \(\int _ { 0 } ^ { 1 } \left( \mathrm { e } ^ { x } + 2 \right) ^ { 2 } \mathrm {~d} x\), giving your answer in terms of e .
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