THIS IS NOT AN INSTRUCTION MANUAL. IT CONTAINS EXERCISES IN INTEGRATION FOR PRACTICE PURPOSES ONLY TO SUPPLEMENT WORK THAT THE STUDENTS HAVE ALREADY COVERED IN CLASS OR ELSEWHERE. THE EXERCISES ARE CATEGORIZED BY TYPE OF INTEGRAL TO MAKE IT EASIER FOR THE STUDENT TO GO DIRECTLY TO THE TYPE THEY NEED REVISION PRACTICE ON. IN EACH SECTION WE BEGIN WITH THE MOST STRAIGHTFORWARD EXAMPLES AND GRADUALLY PROCEED TO MORE CHALLENGING QUESTIONS.
THE EARLIER EXERCISES WILL CONCENTRATE ON HOW TO SOLVE THE INTEGRAL. APPLICATIONS OF INTEGRATION WILL BE LEFT TO LATER EXERCISES.
APPLICATIONS WILL INCLUDE AREAS, VOLUMES, MOMENTS OF INERTIA, PROBLEMS IN DYNAMICS AND BASIC PROBABILITY.
FOR THE TRICKIER EXAMPLES, HINTS ARE OFFERED TO FACILITATE PROGRESS AND ANSWERS TO ALL QUESTIONS ARE PROVIDED.
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