OCR C2 2005 June — Question 6

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2005
SessionJune
TopicBinomial Theorem (positive integer n)
TypeDirect binomial expansion then integrate

6
  1. Find the binomial expansion of \(\left( x ^ { 2 } + \frac { 1 } { x } \right) ^ { 3 }\), simplifying the terms.
  2. Hence find \(\int \left( x ^ { 2 } + \frac { 1 } { x } \right) ^ { 3 } \mathrm {~d} x\).