AQA C3 2014 June — Question 7 6 marks

Exam BoardAQA
ModuleC3 (Core Mathematics 3)
Year2014
SessionJune
Marks6
TopicIntegration by Substitution

7 Use the substitution \(u = 3 - x ^ { 3 }\) to find the exact value of \(\int _ { 0 } ^ { 1 } \frac { x ^ { 5 } } { 3 - x ^ { 3 } } \mathrm {~d} x\).
[0pt] [6 marks]