Edexcel FP3 2014 June — Question 3

Exam BoardEdexcel
ModuleFP3 (Further Pure Mathematics 3)
Year2014
SessionJune
TopicIntegration using inverse trig and hyperbolic functions

  1. Using calculus, find the exact value of
    1. \(\int _ { 1 } ^ { 2 } \frac { 1 } { \sqrt { \left( x ^ { 2 } - 2 x + 3 \right) } } \mathrm { d } x\)
    2. \(\int _ { 0 } ^ { 1 } \mathrm { e } ^ { 2 x } \sinh x \mathrm {~d} x\)