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Previous year question hub

Calculus - Engineering Mathematics - Aerospace Engineering Previous Year Questions

Practice Calculus - Engineering Mathematics - Aerospace Engineering previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

2Papers
2Years
8Questions
1Topics

Calculus question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Calculus. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 7 87.5%
Medium 1 12.5%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 4 50%
Numerical Answer Type (NAT) 4 50%

Subject weightage

Top subjects by unique question coverage.

Aerospace Engineering
8 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
8 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Calculus
8 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Aerospace Engineering (AE) 2026
3 Qs
Aerospace Engineering (AE) 2025
5 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Aerospace Engineering (AE) 202620263View paper
Aerospace Engineering (AE) 202520255View paper

All Calculus previous year questions

Practice every matching question in batches of 20, with every available option.

1
2025 · Aerospace Engineering · Engineering Mathematics · Calculus
Aerospace Engineering (AE) 2025
\(f(x) = \begin{cases} A + x , & \text{if } x < 2 \\ 1 + x^2 , & \text{if } x \geq 2 \end{cases}\)
If the function \(f(x)\) is continuous at \(x = 2\), the value of \(A\) is ____.
A
2
B
2.5
C
3
D
3.5
Open complete paper
2
2025 · Aerospace Engineering · Engineering Mathematics · Calculus
Aerospace Engineering (AE) 2025
If \(i = \sqrt{-1}\), \(\frac{(i+1)^3}{i-1} =\) ____.
A
2
B
\(-2\)
C
\((i + 1)\)
D
\((i - 1)\)
Open complete paper
3
2025 · Aerospace Engineering · Engineering Mathematics · Calculus
Aerospace Engineering (AE) 2025
The maximum value of the function \(f(x) = (x-1)(x-2)(x-3)\) in the domain [0, 3] occurs at \(x = \) ____ (rounded off to two decimal places).
Enter a numerical response
Open complete paper
4
2025 · Aerospace Engineering · Engineering Mathematics · Calculus
Aerospace Engineering (AE) 2025
\(\lim_{x \to 0} \frac{1-\cos(2x)}{x^2} = \) ____ (answer in integer).
Enter a numerical response
Open complete paper
5
2025 · Aerospace Engineering · Engineering Mathematics · Calculus
Aerospace Engineering (AE) 2025
\(\hat{i}\) and \(\hat{j}\) denote unit vectors in the \(x\) and \(y\) directions, respectively. The outward flux of the two-dimensional vector field \(\vec{v} = x\hat{i} + y\hat{j}\) over the unit circle centered at the origin is ____ (rounded off to two decimal places).
Enter a numerical response
Open complete paper
6
2026 · Aerospace Engineering · Engineering Mathematics · Calculus
Aerospace Engineering (AE) 2026
Consider the contour \(C\) shown in the figure below. For the vector \(\vec{F} = (x + 2y)\hat{e}_x + (2x + 4y)\hat{e}_y\), the integral \(\oint_C \vec{F} \cdot d\vec{l} = \)______.
Here \(d\vec{l}\) represents an infinitesimal length along the contour \(C\).

Question source image

A

0

B

2

C

4

D

6

Open complete paper
7
2026 · Aerospace Engineering · Engineering Mathematics · Calculus
Aerospace Engineering (AE) 2026
The Fourier series representation of a square wave is shown in the figure below. The fluctuations seen near x = ±1 are named after which one of the following scientists?

Question source image

A

Cauchy

B

Fourier

C

Gibbs

D

Laplace

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8
2026 · Aerospace Engineering · Engineering Mathematics · Calculus
Aerospace Engineering (AE) 2026
The minimum value of the function \( f(x) = |x| + |2x + 3| \) for real \( x \) is __________ (rounded off to 1 decimal place).
Enter a numerical response
Open complete paper