

Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
contains integration question for practise
Typology: Papers
1 / 3
This page cannot be seen from the preview
Don't miss anything!


On special offer
FACULTY OF SCIENCE DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS B ENG TECH IN CHEMICAL ENGINEERING, CIVIL ENGINEERING, CONSTRUCTION, ELECTRICAL ENGINEERING, INDUSTRIAL ENGINEERING, MECHANICAL ENGINEERING, EXTRACTION METALLURGY & PHYSICAL METALLURGY
MODULE: MATE1B COURSE: ENGINEERING MATHEMATICS V 1B CAMPUS: DFC ASSESSMENT: SEMESTER TEST 2
DATE: 5 OCTOBER 2020
TIME: 08:00AM - 10:30AM
ASSESSORS: MR I.K. LETLHAGE
MR T. PAEPAE MR A. ALOCHUKWU MS. A. DLAMINI
INTERNAL MODERATOR: MR M. P. SELOANE
DURATION: 2 HOURS 30 MMINUTES MARKS: 40
NUMBER OF PAGES: 3 PAGES (INCLUDING FRONT PAGE).
INSTRUCTIONS: READ THE INSTRUCTIONS ON THE TEST PAGE ANSWER ALL THE QUESTIONS IN EITHER BLACK OR BLUE PEN NON-PROGRAMMABLE SCIENTIFIC CALCULATORS ARE ALLOWED
STUDENT NUMBER
SURNAME AND INITIALS
CONTACT NUMBER
2 Engineering Mathematics V 1B: Semester Test 2- 5 October 2020
SECTION A: Short Answer Questions [Total 10]
INTEGRATE THE FOLLOWING INTEGRALS USING ANY APPROPRIATE METHOD. GIVE ONLY THE FINAL SIMPLIFIED ANSWER.
Question 1
2 x y^2 − 1 dx
Question 2
ln 2^3 x dx
Question 3
sin^2 3 csc 2
x dx
Question 4
2 6
x (^) dx
Question 5
(2) 3 2
x (^) dx x
SECTION B: [Total 30]
EVALUATE THE FOLLOWING INTEGRALS USING APPROPRIATE METHODS AND FORMULAE. SHOW ALL THE STEPS TAKEN THAT LEADS TO THE FINAL ANSWER.
Question 6: Integrate the following
6.1 (^4 ) 6 9
dx