OCR C2 2011 June — Question 2

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2011
SessionJune
TopicIndefinite & Definite Integrals

2
  1. Find \(\int \left( 6 x ^ { \frac { 1 } { 2 } } - 1 \right) \mathrm { d } x\).
  2. Hence find the equation of the curve for which \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 6 x ^ { \frac { 1 } { 2 } } - 1\) and which passes through the point \(( 4,17 )\).