CALCULUS BATTLE 2026

Standard Question Paper

Level: HSC + University Admission | Syllabus: Differentiation & Integration

MCQ Section: 10 Minutes (10 × 1 Marks)
Written Section: 25 Minutes (5 × 5 Marks)
Total Time: 35 Minutes
Marking Scheme: +1 Correct | -0.5 Wrong
Security: Fullscreen & Tab Lock

Candidate:

Section: MCQ (10 × 1 Marks)

10:00
Violations: 0/3
Answered: 0/10
Skipped: 10

Candidate:

Section: Written (5 × 5 Marks)

25:00
Violations: 0/3

Section B — Written (5 × 5 = 25 Marks)

1. Find dy/dx if:

y = (x² + 3x + 1) ln x

2. Evaluate:

∫ (x / √(x² + 4)) dx

3. A rectangle has a perimeter of 40 units.

Find the maximum possible area of the rectangle.

4. Evaluate and interpret as area under curve:

∫₁³ (2x - 1) dx

5. If y = x^x, find dy/dx.

25:00
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