NUST NET Mathematics — Integration
Integration is part of the FSc Mathematics course that NUST NET-Engineering draws on (Mathematics is 100 of the 200 MCQs). It breaks into 5 subtopics, and we hold 171 NET-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (5)
How Integration is tested
Across the 8 NET-pattern papers on ParhaiKrlo, Integration accounts for 70 questions. It appears in all 8, about 8.8 questions a paper. The heaviest was NUST NET Past Paper 04, with 11 questions, and the most recent is NUST NET Past Paper 07, with 9.
| Paper | Questions |
|---|---|
| NUST NET Past Paper 07 | 9 |
| NUST NET Past Paper 08 | 9 |
| NUST NET Past Paper 05 | 9 |
| NUST NET Past Paper 06 | 8 |
| NUST NET Past Paper 03 | 8 |
| NUST NET Past Paper 04 | 11 |
| NUST NET Past Paper 01 | 8 |
| NUST NET Past Paper 02 | 8 |
Integration MCQs from the NET-pattern papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · NUST NET Past Paper 07 · Integration
∫(3x² + 2x) dx is:
- A.x³ + x² + C
- B.6x + 2 + C
- C.x³ + 2x² + C
- D.3x³ + x² + C
Show answer
Answer: A. x³ + x² + C — ∫(3x² + 2x) dx = x³ + x² + C.
- Q2 · NUST NET Past Paper 08 · Integration
∫(x² + 1)/x dx is:
- A.x + ln|x| + C
- B.x²/2 + ln|x| + C
- C.x²/2 − 1/x² + C
- D.ln|x| + C
Show answer
Answer: B. x²/2 + ln|x| + C — (x² + 1)/x = x + 1/x, which integrates to x²/2 + ln|x| + C.
- Q3 · NUST NET Past Paper 05 · Integration
∫(1/x + eˣ) dx is:
- A.ln|x| + eˣ + C
- B.−1/x² + eˣ + C
- C.ln|x| − eˣ + C
- D.x eˣ + C
Show answer
Answer: A. ln|x| + eˣ + C — ∫(1/x + eˣ) dx = ln|x| + eˣ + C.