Integration is one of 9 topics in the Grade 12 Technical Mathematics CAPS syllabus, covered across 3 lessons on Study Vault. Below are real practice questions from this topic with full worked answers.
Sample practice questions
Easy
1. Integration is best described as the:
Converse (reverse process) of differentiation
Same process as differentiation
Process of finding a graph's x-intercepts
Process of finding a limit only
Answer: Converse (reverse process) of differentiation — Integration reverses differentiation: it finds a function whose derivative is the given expression.
Easy
2. Integrate 5x^4 dx.
Answer: x^5 + C — Using the power rule: [5/5]x^5 + C = x^5 + C.
Medium
3. Integrate 8x^3 dx.
Answer: 2x^4 + C — Using the power rule: [8/4]x^4 + C = 2x^4 + C.
