OCR MEI C3 2010 January — Question 4

Exam BoardOCR MEI
ModuleC3 (Core Mathematics 3)
Year2010
SessionJanuary
TopicIntegration by Substitution

4 Evaluate the following integrals, giving your answers in exact form.
  1. \(\int _ { 0 } ^ { 1 } \frac { 2 x } { x ^ { 2 } + 1 } \mathrm {~d} x\).
  2. \(\int _ { 0 } ^ { 1 } \frac { 2 x } { x + 1 } \mathrm {~d} x\).