FINAL EXAM
Sample 2
Student Name: ___________________________________________
Student ID Number: ______________________________________
Course Title: Calculus I
Duration of Exam: 2 Hours
Number of Exam Pages: 8 pages (including this cover sheet)
Exam Type: Closed book
Additional Materials Allowed: Calculator and Formula sheet
Total Mark: /100
1
,Q1. (5 marks)
Solve the initial value problem
𝑑2𝑦
= 2 − 6𝑥 ; 𝑦 ′ (0) = 4, 𝑦(0) = 1.
𝑑𝑥 2
2
, Q2. Evaluate the following integrals (6 marks)
4
∫ 𝑥 √1 − 𝑥 2 𝑑𝑥
sin(2𝑥 + 1)
∫ 𝑑𝑥
𝑐𝑜𝑠 2 (2𝑥 + 1)
4
∫ |𝑥|𝑑𝑥
−4
3