OCR C3 2007 June — Question 4

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2007
SessionJune
TopicArea Under & Between Curves

4 The integral I is defined by $$I = \int _ { 0 } ^ { 13 } ( 2 x + 1 ) ^ { \frac { 1 } { 3 } } d x$$
  1. Use integration to find the exact value of I .
  2. Use Simpson's rule with two strips to find an approximate value for I. Give your answer correct to 3 significant figures.