Edexcel C1 2011 June — Question 2

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2011
SessionJune
TopicDifferentiation Applications
TypeFind derivative of polynomial

Given that \(y = 2 x ^ { 5 } + 7 + \frac { 1 } { x ^ { 3 } } , x \neq 0\), find, in their simplest form, (a) \(\frac { \mathrm { d } y } { \mathrm {~d} x }\),
(b) \(\int y \mathrm {~d} x\).