OCR C2 2005 January — Question 6

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2005
SessionJanuary
TopicIndefinite & Definite Integrals

6
  1. Find \(\int x \left( x ^ { 2 } + 2 \right) \mathrm { d } x\).
    1. Find \(\int \frac { 1 } { \sqrt { x } } \mathrm {~d} x\).
    2. The gradient of a curve is given by \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 1 } { \sqrt { } x }\). Find the equation of the curve, given that it passes through the point \(( 4,0 )\).