Question 1 - A-Level Maths

Exam Board	SPS
Module	SPS FM Pure (SPS FM Pure)
Year	2020
Session	February
Topic	Integration using inverse trig and hyperbolic functions

1 In this question you must show detailed reasoning.

Determine the value of $$\int _ { 3 } ^ { 5 } \frac { 1 } { \sqrt { x ^ { 2 } - 9 } } d x$$ giving your answer as a single logarithm.
Determine the exact value of $$\int _ { 0 } ^ { \ln 3 } \sinh x \cosh x d x$$