Register
Webpage for Calculus:

Recent questions tagged calculus

3 votes
1 answer
422
ISRO2016- EC Calculus
Evaluate $\int_0^1 \int_0^{\sqrt{1+x^2}} \frac{d x \cdot d y}{\left(1+x^2+y^2\right)}$ $\frac{\pi}{2}[\log (1+\sqrt{2})]$ $\frac{\pi}{4}[\log (1+\sqrt{2})]$ $\frac{\pi}{2}[\log (1-\sqrt{2})]$ $\frac{\pi}{4}[\log (1-\sqrt{2})]$
Evaluate $\int_0^1 \int_0^{\sqrt{1+x^2}} \frac{d x \cdot d y}{\left(1+x^2+y^2\right)}$$\frac{\pi}{2}[\log (1+\sqrt{2})]$$\frac{\pi}{4}[\log (1+\sqrt{2})]$$\frac{\pi}{2}[\...
User Avatar
1 votes
3 answers
423
ISRO2016-EC Mathematics
The value of $\lim _{x \rightarrow 8}\left(\frac{x^{1 / 3}-2}{x-8}\right)$ is $1/4$ $1/8$ $1/12$ $1/16$
The value of $\lim _{x \rightarrow 8}\left(\frac{x^{1 / 3}-2}{x-8}\right)$ is$1/4$$1/8$$1/12$$1/16$
User Avatar
35 votes
4 answers
424
GATE CSE 2017 Set 2 | Question: GA-9
The number of roots of $e^{x}+0.5x^{2}-2=0$ in the range $[-5,5]$ is $0$ $1$ $2$ $3$
The number of roots of $e^{x}+0.5x^{2}-2=0$ in the range $[-5,5]$ is$0$$1$$2$$3$
User Avatar
22 votes
4 answers
425
GATE CSE 2017 Set 1 | Question: 28
The value of $\displaystyle \lim_{x\rightarrow 1} \frac{x^{7}-2x^{5}+1}{x^{3}-3x^{2}+2}$ is $0$ is $-1$ is $1$ does not exist
The value of $\displaystyle \lim_{x\rightarrow 1} \frac{x^{7}-2x^{5}+1}{x^{3}-3x^{2}+2}$is $0$is $-1$is $1$does not exist
User Avatar
2 votes
0 answers
427
Integration doubt
How to integrate: $\int e^{-x^{2}} dx$ More specifically, how to integrate standard normal distribution function from 0 to a?
How to integrate: $\int e^{-x^{2}} dx$More specifically, how to integrate standard normal distribution function from 0 to a?
User Avatar
0 votes
0 answers
428
Basic Calculus
what is the difference between Local maxima/minima and absolute maxima/minima ???? example would be great
what is the difference between Local maxima/minima and absolute maxima/minima ???? example would be great
User Avatar
1 votes
1 answer
429
LIMIT
$\lim_{X\rightarrow \infty } -(x+1)(e^{\frac{1}{x+1}}-1)$
$\lim_{X\rightarrow \infty } -(x+1)(e^{\frac{1}{x+1}}-1)$
User Avatar
0 votes
1 answer
430
gate 2010
What is the value of Limn->∞(1-1/n)2n ? (A) 0 (B) e-2 (C) e-1/2 (D) 1
What is the value of Limn->∞(1-1/n)2n ?(A) 0(B) e-2(C) e-1/2(D) 1
User Avatar
0 votes
2 answers
431
Integration
what is the integration of this funcion? f(x)=1−|x| where −1≤x≤1
what is the integration of this funcion? f(x)=1−|x| where −1≤x≤1
User Avatar
2 votes
3 answers
433
Integration
Solve the following $\int_{0}^{\infty}e^{-x^2}x^4dx$
Solve the following $\int_{0}^{\infty}e^{-x^2}x^4dx$
User Avatar
2 votes
1 answer
434
Simple Integration Q2
$\int_{0}^{\frac{\pi}{4}}( \sec 2x -\tan 2x )\ dx$
$\int_{0}^{\frac{\pi}{4}}( \sec 2x -\tan 2x )\ dx$
User Avatar
0 votes
1 answer
435
Simple Doubt in Integration
$\int_{- \pi }^{\pi} t^{2} \sin t \ dt$
$\int_{- \pi }^{\pi} t^{2} \sin t \ dt$
User Avatar
0 votes
0 answers
436
Minimum value of f(x)
If f(x) is defined as follows, what is the minimum value of f(x) for x ∊ (0, 2] ?
If f(x) is defined as follows, what is the minimum value of f(x) for x ∊ (0, 2] ?
User Avatar
0 votes
0 answers
437
Countinuity And Bounded Region
f(x) = x^ (-1/3) Show that f(x) is not countinuous in [-1,1] and not bounded [-1,1]
f(x) = x^ (-1/3)Show that f(x) isnot countinuous in [-1,1] andnot bounded [-1,1]
User Avatar
1 votes
2 answers
438
CMI2016-B-7ai
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$: M(101)$
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(...
User Avatar
0 votes
1 answer
440
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(...
User Avatar
2 votes
2 answers
441
CMI2016-B-7aii
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$: M(99)$
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(...
User Avatar
1 votes
1 answer
443
Continuity
Function f(x) = |cos x| is (A) Continuous only in [0, π/2] (B) Continuous only in [−π/2, π/2] (C) Continuous only in [−π, π] (D) None
Function f(x) = |cos x| is(A) Continuous only in [0, π/2](B) Continuous only in [−π/2, π/2](C) Continuous only in [−π, π](D) None
User Avatar
0 votes
1 answer
445
Calculus
$\lim_{x\rightarrow \pi } (1+\cos x)/\tan ^{2}x$
$\lim_{x\rightarrow \pi } (1+\cos x)/\tan ^{2}x$
User Avatar
0 votes
1 answer
447
Diffrentiability+Limits
how to solve diffrentiability with standard procedure of f(a+h).
how to solve diffrentiability with standard procedure of f(a+h).
User Avatar
2 votes
1 answer
448
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
User Avatar
2 votes
1 answer
449
Numerical Aptitude
User Avatar
Page: