SPS
SPS SM Pure
2021
September
— Question 1
5 marks
Exam Board
SPS
Module
SPS SM Pure (SPS SM Pure)
Year
2021
Session
September
Marks
5
Topic
Standard Integrals and Reverse Chain Rule
1.
Find \(\int \left( \frac { 36 } { x ^ { 2 } } + a x \right) \mathrm { d } x\), where \(a\) is a constant. [0pt]
[3 marks]
Hence, given that \(\int _ { 1 } ^ { 3 } \left( \frac { 36 } { x ^ { 2 } } + a x \right) \mathrm { d } x = 16\), find the value of the constant \(a\). [0pt]
[2 marks]