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Syllabus: Limits, Continuity, and Differentiability, Maxima and minima, Mean value theorem, Integration.

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}&\textbf{2024-1} &\textbf{2024-2} &\textbf{2023} &\textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} &1&1&2& 1 &1&1&1&1.16&2
\\\hline\textbf{2 Marks Count} &0&0&0& 0 &0&0&0&0&0
\\\hline\textbf{Total Marks} & 1&1&2&1 &1&1&\bf{1}&\bf{1.16}&\bf{2}\\\hline
\end{array}}}$$

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Most answered questions in Calculus

1 votes
1 answer
441
LIMIT
$\lim_{X\rightarrow \infty } -(x+1)(e^{\frac{1}{x+1}}-1)$
$\lim_{X\rightarrow \infty } -(x+1)(e^{\frac{1}{x+1}}-1)$
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0 votes
1 answer
442
how to integrate this
$\int_{1}^{n}\frac{dt}{log (t)}$
$\int_{1}^{n}\frac{dt}{log (t)}$
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0 votes
1 answer
443
Test Series
https://gateoverflow.in/?qa=blob&qa_blobid=4549376166631720003
https://gateoverflow.in/?qa=blob&qa_blobid=4549376166631720003
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1 votes
1 answer
444
Definite Integration
Let $\frac{\mathrm{d} }{\mathrm{d} x}f(x)$ = $\frac{e^{sinx}}{x}, x>0$ if $\int_{1}^{4}\frac{2e^{sinx^{2}}}{x}d(x)$ = f(k)-f(1) then k = ______
Let $\frac{\mathrm{d} }{\mathrm{d} x}f(x)$ = $\frac{e^{sinx}}{x}, x>0$ if $\int_{1}^{4}\frac{2e^{sinx^{2}}}{x}d(x)$ = f(k)-f(1) then k = ______
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0 votes
1 answer
445
ACE-calculus
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2 votes
1 answer
446
Simple Integration Q2
$\int_{0}^{\frac{\pi}{4}}( \sec 2x -\tan 2x )\ dx$
$\int_{0}^{\frac{\pi}{4}}( \sec 2x -\tan 2x )\ dx$
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0 votes
1 answer
447
Simple Doubt in Integration
$\int_{- \pi }^{\pi} t^{2} \sin t \ dt$
$\int_{- \pi }^{\pi} t^{2} \sin t \ dt$
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0 votes
1 answer
449
CMI2016-B-7aiii
Consider the funciton $M$ defined as follows: $M(n) = \begin{cases} n-10 & \text{ if } n > 100 \\ M(M(n+11)) & \text{ if } n \leq 100 \end{cases}$ Compute the following$: M(87)$
Consider the funciton $M$ defined as follows:$M(n) = \begin{cases} n-10 & \text{ if } n 100 \\ M(M(n+11)) & \text{ if } n \leq 100 \end{cases}$Compute the following$: M(...
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0 votes
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451
Is partial derivatives and euler's theorem (related to partial derivatives) in syllabus?
Is partial derivatives and euler's theorem in syllabus? Please clarify if any idea.
Is partial derivatives and euler's theorem in syllabus?Please clarify if any idea.
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0 votes
1 answer
452
Calculus
$\lim_{x\rightarrow \pi } (1+\cos x)/\tan ^{2}x$
$\lim_{x\rightarrow \pi } (1+\cos x)/\tan ^{2}x$
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0 votes
1 answer
454
Gate 2016
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0 votes
1 answer
455
Diffrentiability+Limits
how to solve diffrentiability with standard procedure of f(a+h).
how to solve diffrentiability with standard procedure of f(a+h).
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3 votes
1 answer
456
find the inverse
Find the inverse function of the following= f(x)=2∙3x+9x log3⁡((√(x+1))+1) log3⁡((√(x+1))-1) log3⁡((√(x-1))+1) log3⁡((√(x+1))-2)
Find the inverse function of the following=f(x)=2∙3x+9x log3⁡((√(x+1))+1) log3⁡((√(x+1))-1) log3⁡((√(x-1))+1) log3⁡((√(x+1))-2)
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2 votes
1 answer
457
If 0<y<x, then Lt(n→∞)⁡〖(xn+yn )(1/n) 〗 is equal to
If 0<y<x, then Lt(n→∞)⁡〖(xn+yn )(1/n) 〗 is equal to
If 0<y<x, then Lt(n→∞)⁡〖(xn+yn )(1/n) 〗 is equal to
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2 votes
1 answer
458
Numerical Aptitude
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1 votes
1 answer
459
math
someone plz give solution
someone plz give solution
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4 votes
1 answer
460
Virtual Gate Test Series: Calculus - Integration
Let $\frac{d}{dx} [f(x)] = \frac{e^{sinx}}{x} , x > 0 .$ If $\int_{1}^{4}(\frac{2e^{sinx^{2}}}{x}) dx = f(k) - f(1)$ where limits of integration is from $1$ to $4$ , then $k =?$
Let $\frac{d}{dx} [f(x)] = \frac{e^{sinx}}{x} , x 0 .$If $\int_{1}^{4}(\frac{2e^{sinx^{2}}}{x}) dx = f(k) - f(1)$ where limits of integration is from $1$ to $4$ , then $...
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