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304questions
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Calculus - Mathematics Previous Year Questions
Practice Calculus - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.
14Papers
3Years
304Questions
1Topics
Calculus question pattern
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Question type distribution
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304questions
Multiple Choices
304
100%
Subject weightage
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Paper coverage
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Indefinite Integration
Explore previous-paper coverage, trends and focused practice for Indefinite Integration.
Application Of Derivatives
Explore previous-paper coverage, trends and focused practice for Application Of Derivatives.
Differential Equations
Explore previous-paper coverage, trends and focused practice for Differential Equations.
Differentiation
Explore previous-paper coverage, trends and focused practice for Differentiation.
Functions
Explore previous-paper coverage, trends and focused practice for Functions.
Definite Integration
Explore previous-paper coverage, trends and focused practice for Definite Integration.
Limits Continuity And Differentiability
Explore previous-paper coverage, trends and focused practice for Limits Continuity And Differentiability.
Area Under The Curves
Explore previous-paper coverage, trends and focused practice for Area Under The Curves.
Included previous year papers
Newest papers appear first. Sort by year, question coverage or name.
| Paper | Year / session | Questions in this view | Open |
|---|---|---|---|
| TS EAMCET 2023 (Online) 12th May Morning Shift | 2023 | 24 | View paper |
| TS EAMCET 2023 ONLINE 12TH MAY EVENING SHIFT | 2023 | 24 | View paper |
| TS EAMCET 2023 ONLINE 13TH MAY EVENING SHIFT | 2023 | 23 | View paper |
| TS EAMCET 2023 ONLINE 13TH MAY MORNING SHIFT | 2023 | 23 | View paper |
| TS EAMCET 2023 ONLINE 14TH MAY EVENING SHIFT | 2023 | 22 | View paper |
| TS EAMCET 2023 ONLINE 14TH MAY MORNING SHIFT | 2023 | 22 | View paper |
| TS EAMCET 2022 (Online) 19th July Evening Shift | 2022 | 21 | View paper |
| TS EAMCET 2022 (Online) 19th July Morning Shift | 2022 | 20 | View paper |
| TS EAMCET 2022 (Online) 20th July Evening Shift | 2022 | 21 | View paper |
| TS EAMCET 2022 (Online) 20th July Morning Shift | 2022 | 20 | View paper |
| TS EAMCET 2022 ONLINE 18TH JULY EVENING SHIFT | 2022 | 19 | View paper |
| TS EAMCET 2022 ONLINE 18TH JULY MORNING SHIFT | 2022 | 20 | View paper |
| TS EAMCET 2020 (Online) 10th September Evening Shift | 2020 | 23 | View paper |
| TS EAMCET 2020 (Online) 10th September Morning Shift | 2020 | 22 | View paper |
Sample previous year questions
A varied preview from the papers represented in this selection, with every available option.
2022 · Mathematics · Calculus · Differentiation
TS EAMCET 2022 ONLINE 18TH JULY EVENING SHIFT
If $a f(x)+b f\left(\frac{1}{x}\right)=x+1$, and $\frac{d}{d x}\left(x^2 f(x)\right)=2 x^2+2 x+\frac{1}{3}$, then $a-b$
2022 · Mathematics · Calculus · Indefinite Integration
TS EAMCET 2022 ONLINE 18TH JULY MORNING SHIFT
If $x>0$ and $x \neq(2 n+1) \frac{\pi}{2}$, then $\int\left(x \sqrt{x}-e^{\log (\sec x \tan x)}+\frac{3 x^2-2 x+1}{x^2}\right) d x=$
2023 · Mathematics · Calculus · Indefinite Integration
TS EAMCET 2023 ONLINE 12TH MAY EVENING SHIFT
$$\text { Match the following items from List I into List II }$$
Select the correct choice
Open complete paper
| List-I | List-II |
| 1. \(\int \frac{\mathrm{sin}^{2} x}{\mathrm{cos}^{4} x} d x\)\(\int \frac{\mathrm{sin}^{2} x}{\mathrm{cos}^{4} x} d x\)int(sin^(2)x)/(cos^(4)x)dx | A. \(\quad \frac{\mathrm{tan}^{2} x}{2} + \mathrm{ln} | \mathrm{cos} x | + C\)\(\quad \frac{\mathrm{tan}^{2} x}{2} + \mathrm{ln} | \mathrm{cos} x | + C\)quad(tan^(2)x)/(2)+ln |cos x|+C |
| 2. \(\int \frac{\mathrm{sin}^{4} x}{\mathrm{cos}^{2} x} d x\)\(\int \frac{\mathrm{sin}^{4} x}{\mathrm{cos}^{2} x} d x\)int(sin^(4)x)/(cos^(2)x)dx | B. \(\mathrm{cos} x + \mathrm{sec} x + C\)\(\mathrm{cos} x + \mathrm{sec} x + C\)cos x+sec x+C |
| 3. \(\int \frac{\mathrm{sin}^{3} x}{\mathrm{cos}^{2} x} d x\)\(\int \frac{\mathrm{sin}^{3} x}{\mathrm{cos}^{2} x} d x\)int(sin^(3)x)/(cos^(2)x)dx | C. \(\frac{\mathrm{tan}^{3} x}{3} + C\)\(\frac{\mathrm{tan}^{3} x}{3} + C\)(tan^(3)x)/(3)+C |
| 4. \(\int \frac{\mathrm{sin}^{3} x}{\mathrm{cos}^{3} x} d x\)\(\int \frac{\mathrm{sin}^{3} x}{\mathrm{cos}^{3} x} d x\)int(sin^(3)x)/(cos^(3)x)dx | D. \(\mathrm{tan} x + \frac{\mathrm{sin} 2 x}{4} - \frac{3 x}{2} + C\)\(\mathrm{tan} x + \frac{\mathrm{sin} 2 x}{4} - \frac{3 x}{2} + C\)tan x+(sin 2x)/(4)-(3x)/(2)+C |
| E. \(\mathrm{cos} x - \mathrm{sec} x + C\)\(\mathrm{cos} x - \mathrm{sec} x + C\)cos x-sec x+C |
2023 · Mathematics · Calculus · Differentiation
TS EAMCET 2023 ONLINE 13TH MAY EVENING SHIFT
- If $x=\cos ^3 \theta-\sin ^3 \theta$ and $y=\sqrt[3]{\cos \theta}-\sqrt[3]{\sin \theta}$, then the value of $\frac{d y}{d x}$ at $\theta=\frac{\pi}{4}$ is
2023 · Mathematics · Calculus · Differentiation
TS EAMCET 2023 ONLINE 13TH MAY MORNING SHIFT
If $f(x)=x^{\tan x}+(\tan x)^x$, then $f^{\prime}\left(\frac{\pi}{4}\right)=$
2023 · Mathematics · Calculus · Differentiation
TS EAMCET 2023 ONLINE 14TH MAY EVENING SHIFT
Match the values of $\frac{d y}{d x}$ at $x=\frac{\pi}{3}$ for the following system of curves in parametric form given in List-I with those of the items in List-II
| List-I | List-II | ||
| (i) | \(x = a ( \theta - \mathrm{sin} \theta ) , y = a ( 1 - \mathrm{cos} \theta )\)\(x = a ( \theta - \mathrm{sin} \theta ) , y = a ( 1 - \mathrm{cos} \theta )\)x=a(theta-sin theta),y=a(1-cos theta) | (a) | \(4 \sqrt{3}\)\(4 \[\sqrt{3}\)4sqrt3\] |
| (ii) | \(x = 3 \mathrm{cos} \theta - 2 \mathrm{cos}^{3} \theta , y = 3 \mathrm{sin} \theta - 2 \mathrm{sin}^{3} \theta\)\(x = 3 \mathrm{cos} \theta - 2 \mathrm{cos}^{3} \theta , y = 3 \mathrm{sin} \theta - 2 \mathrm{sin}^{3} \theta\)x=3cos theta-2cos^(3)theta,y=3sin theta-2sin^(3)theta | (b) | \(\frac{- 1}{3 \sqrt{3}}\)\(\frac{- 1}{3 \[\sqrt{3}}\)(-1)/(3sqrt3)\] |
| (iii) | \(x = 3 \mathrm{cos} \theta - \mathrm{cos}^{3} \theta , y = 3 \mathrm{sin} \theta - \mathrm{sin}^{3} \theta\)\(x = 3 \mathrm{cos} \theta - \mathrm{cos}^{3} \theta , y = 3 \mathrm{sin} \theta - \mathrm{sin}^{3} \theta\)x=3cos theta-cos^(3)theta,y=3sin theta-sin^(3)theta | (c) | \(\sqrt{3}\)\(\sqrt{3}\)sqrt3 |
| (iv) | \(x = a \mathrm{log} \mathrm{sin} \theta , y = a \mathrm{tan} \theta\)\(x = a \mathrm{log} \mathrm{sin} \theta , y = a \mathrm{tan} \theta\)x=a log sin theta,y=a tan theta | (d) | \(\frac{1}{\sqrt{3}}\)\(\frac{1}{\sqrt{3}}\)(1)/(sqrt3) |
| (e) | \(\frac{1}{3 \sqrt{3}}\)\(\frac{1}{3 \[\sqrt{3}}\)(1)/(3sqrt3)\] | ||