OCR Further Pure Core 2 2018 September — Question 2

Exam BoardOCR
ModuleFurther Pure Core 2 (Further Pure Core 2)
Year2018
SessionSeptember
TopicStandard Integrals and Reverse Chain Rule

2
7
- 1 \end{array} \right) + \mu \left( \begin{array} { c } 1
- 2
4 \end{array} \right) .$$ (ii) Find the point of intersection of \(l _ { 1 }\) and \(l _ { 2 }\).
(iii) Find the acute angle between \(l _ { 1 }\) and \(l _ { 2 }\). 2 In this question you must show detailed reasoning.
(i) Find \(\int _ { \frac { 1 } { 4 } \pi } ^ { \frac { 1 } { 3 } \pi } 2 \tan x \mathrm {~d} x\) giving your answer in the form \(\ln p\).
(ii) Show that \(\int _ { 0 } ^ { \frac { 1 } { 2 } \pi } 2 \tan x \mathrm {~d} x\) is undefined explaining your reasoning.