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Previous year question hub

Calculus - Mathematics Previous Year Questions

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

11Papers
2Years
27Questions
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.

Not classified 27 100%

Question type distribution

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

Multiple Choices 27 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
27 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
27 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Indefinite Integration
12 Qs
Definite Integration
6 Qs
Differentiation
5 Qs
Functions
3 Qs
Limits Continuity And Differentiability
1 Qs

Paper coverage

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

TG EAPCET 2025 ONLINE 2ND MAY EVENING SHIFT
4 Qs
TG EAPCET 2025 ONLINE 2ND MAY MORNING SHIFT
4 Qs
TG EAPCET 2025 ONLINE 4TH MAY MORNING SHIFT
3 Qs
TG EAPCET 2025 ONLINE 3RD MAY EVENING SHIFT
2 Qs
TG EAPCET 2025 ONLINE 3RD MAY MORNING SHIFT
2 Qs
TG EAPCET 2025 ONLINE 4TH MAY EVENING SHIFT
2 Qs
TG EAPCET 2024 ONLINE 10TH MAY MORNING SHIFT
4 Qs
TG EAPCET 2024 ONLINE 10TH MAY EVENING SHIFT
2 Qs
TG EAPCET 2024 ONLINE 9TH MAY EVENING SHIFT
2 Qs
TG EAPCET 2024 (Online) 9th May Morning Shift
1 Qs
TG EAPCET 2024 ONLINE 11TH MAY MORNING SHIFT
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
TG EAPCET 2025 ONLINE 2ND MAY EVENING SHIFT20254View paper
TG EAPCET 2025 ONLINE 2ND MAY MORNING SHIFT20254View paper
TG EAPCET 2025 ONLINE 3RD MAY EVENING SHIFT20252View paper
TG EAPCET 2025 ONLINE 3RD MAY MORNING SHIFT20252View paper
TG EAPCET 2025 ONLINE 4TH MAY EVENING SHIFT20252View paper
TG EAPCET 2025 ONLINE 4TH MAY MORNING SHIFT20253View paper
TG EAPCET 2024 (Online) 9th May Morning Shift20241View paper
TG EAPCET 2024 ONLINE 10TH MAY EVENING SHIFT20242View paper
TG EAPCET 2024 ONLINE 10TH MAY MORNING SHIFT20244View paper
TG EAPCET 2024 ONLINE 11TH MAY MORNING SHIFT20241View paper
TG EAPCET 2024 ONLINE 9TH MAY EVENING SHIFT20242View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2024 · Mathematics · Calculus · Indefinite Integration
TG EAPCET 2024 ONLINE 10TH MAY EVENING SHIFT
If $\int\left(1+x-x^{-1}\right) e^{\left(x+x^{-1}\right)} d x=f(x)+C$, then $f(1)-f(-1)=$
A
$e^{2}-\frac{1}{e^{2}}$
B
$e^{2}+\frac{1}{e^{2}}$
C
$e+\frac{1}{e}$
D
$e-\frac{1}{e}$
Open complete paper
2
2024 · Mathematics · Calculus · Differentiation
TG EAPCET 2024 ONLINE 10TH MAY MORNING SHIFT
If $y=\log \left[\tan \sqrt{\frac{2^x-1}{2^x+1}}\right], x>0$, then $\left(\frac{d y}{d x}\right)_{x=1}=$
A
$\frac{4 \sqrt{2} \log 2}{9 \sin \left(\frac{2}{\sqrt{3}}\right)}$
B
$\frac{4 \sqrt{3} \log 2}{9 \sin \left(\frac{\sqrt{3}}{2}\right)}$
C
$\frac{4 \sqrt{3} \log 2}{9 \sin \left(\frac{2}{\sqrt{3}}\right)}$
D
$\frac{4 \sqrt{2} \log 2}{9 \sin \left(\frac{\sqrt{3}}{2}\right)}$
Open complete paper
3
2024 · Mathematics · Calculus · Definite Integration
TG EAPCET 2024 ONLINE 11TH MAY MORNING SHIFT
$\int_{\frac{\pi}{5}}^{\frac{3 \pi}{10}} \frac{d x}{\sec ^{2} x+\left(\tan ^{2024} x-1\right)\left(\sec ^{2} x-1\right)}=$
A
$\frac{\pi}{20}$
B
$\frac{2 \pi}{5}$
C
$\frac{3 \pi}{20}$
D
$\frac{3 \pi}{5}$
Open complete paper
4
2024 · Mathematics · Calculus · Definite Integration
TG EAPCET 2024 ONLINE 9TH MAY EVENING SHIFT
$\int_0^{16} \frac{\sqrt{x}}{1+\sqrt{x}} d x=$
A
$8+2 \log 2$
B
$8+\log 2$
C
$8+2 \log 5$
D
$4+\log 5$
Open complete paper
5
2025 · Mathematics · Calculus · Differentiation
TG EAPCET 2025 ONLINE 2ND MAY EVENING SHIFT

If $\frac{d}{d x}\left\{\left(\frac{x-1}{x-\sqrt{x}}\right) e^{2 x+1}\right\}=\frac{x-1}{x-\sqrt{x}} e^{2 x+1} f(x)$, then $f(4)=$

A

0

B

1

C

$\frac{35}{24}$

D

$\frac{47}{24}$

Open complete paper
6
2025 · Mathematics · Calculus · Definite Integration
TG EAPCET 2025 ONLINE 2ND MAY MORNING SHIFT

$$\int_0^2 \sqrt{(x+3)(2-x)} d x=$$

A

$\frac{25}{8} \cos ^{-1}\left(\frac{1}{5}\right)-\frac{\sqrt{6}}{4}$

B

$\frac{25}{8} \sin ^{-1}\left(\frac{1}{5}\right)-\frac{\sqrt{6}}{4}$

C

$\frac{\pi}{2}$

D

$\pi$

Open complete paper