Differential and Integral Calculus Quiz Summer 2025 Question Paper — Study Guide & FAQ

What is the Differential and Integral Calculus Quiz Summer 2025 question paper?

This page hosts the Differential and Integral Calculus Quiz Summer 2025 question paper for DIU BBA students studying Differential and Integral Calculus (0541-214) during Summer 2025, Batch BBA 66. The PDF comes from our student archive — use it to learn the exam format, time yourself, and spot recurring topics.

What questions appear on this exam?

The transcript below shows real questions from this paper (OCR). Common themes include: If the function $f(x) = \begin{cases} x^2 + 3, & \text{when } x < 0 \\ 2x + 2, & \text{when } 0 \leq x < 2 \\ 10, & \text{when } x \geq 2 \end{cases}$ Then find $f(1.5)$, $f(3)$ and $f(-1)$ [3]; Define Domain of a function. Find domain and range of $f(x) = \frac{x+5}{x-3}$ [5]; Is $f(x) = x^2 + 3$ a function? If it is then sketch the graph of this function. [4].

• If the function $f(x) = \begin{cases} x^2 + 3, & \text{when } x < 0 \\ 2x + 2, & \text{when } 0 \leq x < 2 \\ 10, & \text{when } x \geq 2 \end{cases}$ Then f…
• Define Domain of a function. Find domain and range of $f(x) = \frac{x+5}{x-3}$ [5]
• Is $f(x) = x^2 + 3$ a function? If it is then sketch the graph of this function. [4]
• Find the value of $\lim_{x \to 1} \frac{3x^3 - 8}{x - 2}$ [3]

How should DIU BBA students use this past paper?

Attempt the full paper once without notes, then mark questions you could not finish in time. Compare your work with class notes, the course hub, and any answer scripts linked on this page. Repeat weak chapters one week before your real exam.