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Recent questions tagged integration
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LIMIT AND CONTINUITY
Determine the volume of the solid obtained by rotating the portion of the region bounded by $y=\sqrt[3]{x}$ and $y=\frac{x}{4}$ that lies in the first quadrant about the y-axis.
Hailemariam
asked
in
Others
Jun 2, 2023
by
Hailemariam
296
views
limits
integration
0
votes
0
answers
2
LIMIT AND CONTINUITY integration
Depramine the area of region bounded by $y=2x^{2}+10$ and $y=4x+16$
Hailemariam
asked
in
Others
Jun 1, 2023
by
Hailemariam
75
views
integration
limits
0
votes
0
answers
3
LIMIT AND CONTINUITY
Differentiate each of the following. $g(x)=\int ^{x}_{-4}e^{2t}cos^{2}(1-5t)dt$
Hailemariam
asked
in
Others
Jun 1, 2023
by
Hailemariam
107
views
limits
integration
0
votes
1
answer
4
LIMIT AND CONTINUITY
1.Evaluate the following definite integral $\int^{130}_{130}\frac{x^{3}-x\sin(x)+\cos(x)}{x^{^{2}}+1}dx$
Hailemariam
asked
in
Others
Jun 1, 2023
by
Hailemariam
268
views
limits
continuity
integration
2
votes
1
answer
5
GO Classes Test Series 2023 | Calculus | Test 1 | Question: 20
Which of the following expression evaluates to given integral $ \int \frac{\ln (\ln x)}{x \ln x} d x $ $\dfrac{\ln x}{x}+C$ $\frac{1}{2}(\ln \ln x)^{2}+C$ $(\ln x)^{2}+C$ $(\ln \ln x)+C$
GO Classes
asked
in
Calculus
Aug 28, 2022
by
GO Classes
492
views
goclasses2024-calculus-1
goclasses
calculus
integration
2-marks
0
votes
0
answers
6
Best Open Video Playlist for Integration Topic | Calculus
Please list out the best free available video playlist for Integration Topic from Calculus as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video lists. You can add ... but standard ones are more likely to be selected as best. For the full list of selected videos please see here
makhdoom ghaya
asked
in
Study Resources
Aug 15, 2022
by
makhdoom ghaya
235
views
missing-videos
free-videos
video-links
go-classroom
integration
0
votes
0
answers
7
math book
$\int_{0}^{1}\tan^{-1} (1-\frac{1}{x})$ d(x) find
amit166
asked
in
Calculus
Sep 25, 2021
by
amit166
325
views
integration
0
votes
1
answer
8
#mathematics
What is the difference between Integration and Summation? Which one produces a greater value in the same range?
Crackca
asked
in
Calculus
Sep 14, 2021
by
Crackca
354
views
integration
1
vote
1
answer
9
NIELIT 2016 MAR Scientist B - Section B: 9
The value of improper integral $\displaystyle\int_{0}^{1} x\ln x =?$ $1/4$ $0$ $-1/4$ $1$
Lakshman Bhaiya
asked
in
Calculus
Mar 31, 2020
by
Lakshman Bhaiya
701
views
nielit2016mar-scientistb
engineering-mathematics
calculus
integration
definite-integral
1
vote
2
answers
10
NIELIT 2016 MAR Scientist B - Section B: 11
What is the derivative w.r.t $x$ of the function given by $\large \Phi(x)= \displaystyle \int_{0}^{x^2}\sqrt t\:dt$, $2x^2$ $\sqrt x$ $0$ $1$
Lakshman Bhaiya
asked
in
Calculus
Mar 31, 2020
by
Lakshman Bhaiya
528
views
nielit2016mar-scientistb
engineering-mathematics
calculus
integration
definite-integral
2
votes
1
answer
11
ISI2014-DCG-12
The integral $\int _0^{\frac{\pi}{2}} \frac{\sin^{50} x}{\sin^{50}x +\cos^{50}x} dx$ equals $\frac{3 \pi}{4}$ $\frac{\pi}{3}$ $\frac{\pi}{4}$ none of these
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
701
views
isi2014-dcg
calculus
definite-integral
integration
3
votes
1
answer
12
ISI2014-DCG-31
For real $\alpha$, the value of $\int_{\alpha}^{\alpha+1} [x]dx$, where $[x]$ denotes the largest integer less than or equal to $x$, is $\alpha$ $[\alpha]$ $1$ $\dfrac{[\alpha] + [\alpha +1]}{2}$
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
553
views
isi2014-dcg
calculus
integration
definite-integral
1
vote
1
answer
13
ISI2014-DCG-47
The value of the definite integral $\int_0^{\pi} \mid \frac{1}{2} + \cos x \mid dx$ is $\frac{\pi}{6} + \sqrt{3}$ $\frac{\pi}{6} - \sqrt{3}$ $0$ $\frac{1}{2}$
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
494
views
isi2014-dcg
calculus
integration
definite-integral
0
votes
1
answer
14
ISI2014-DCG-53
The value of the integral $\displaystyle{}\int_{-1}^1 \dfrac{x^2}{1+x^2} \sin x \sin 3x \sin 5x dx$ is $0$ $\frac{1}{2}$ $ – \frac{1}{2}$ $1$
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
577
views
isi2014-dcg
calculus
integration
definite-integral
1
vote
1
answer
15
ISI2015-MMA-77
Let $R$ be the triangle in the $xy$ – plane bounded by the $x$-axis, the line $y=x$, and the line $x=1$. The value of the double integral $ \int \int_R \frac{\sin x}{x}\: dxdy$ is $1-\cos 1$ $\cos 1$ $\frac{\pi}{2}$ $\pi$
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
493
views
isi2015-mma
integration
non-gate
1
vote
1
answer
16
ISI2015-DCG-46
Let $I=\int (\sin x – \cos x)(\sin x + \cos x)^3 dx$ and $K$ be a constant of integration. Then the value of $I$ is $(\sin x + \cos x)^4+K$ $(\sin x + \cos x)^2+K$ $- \frac{1}{4} (\sin x + \cos x)^4+K$ None of these
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
346
views
isi2015-dcg
calculus
integration
1
vote
1
answer
17
ISI2015-DCG-51
The area bounded by $y=x^2-4$, $y=0$ and $x=4$ is $\frac{64}{3}$ $6$ $\frac{16}{3}$ $\frac{32}{3}$
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
404
views
isi2015-dcg
integration
definite-integral
1
vote
1
answer
18
ISI2016-DCG-46
Let $I=\int(\sin\:x-\cos\:x)(\sin\:x+\cos\:x)^{3}dx$ and $K$ be a constant of integration. Then the value of $I$ is $(\sin\:x+\cos\:x)^{4}+K$ $(\sin\:x+\cos\:x)^{2}+K$ $-\frac{1}{4}(\sin\:x+\cos\:x)^{4}+K$ None of these
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
381
views
isi2016-dcg
calculus
integration
non-gate
2
votes
1
answer
19
ISI2018-MMA-29
Let $f$ be a continuous function with $f(1) = 1$. Define $F(t)=\int_{t}^{t^2}f(x)dx$. The value of $F’(1)$ is $-2$ $-1$ $1$ $2$
akash.dinkar12
asked
in
Calculus
May 11, 2019
by
akash.dinkar12
1.0k
views
isi2018-mma
engineering-mathematics
calculus
integration
2
votes
1
answer
20
ISI2019-MMA-29
Let $\psi : \mathbb{R} \rightarrow \mathbb{R}$ be a continuous function with $\psi(y) =0$ for all $y \notin [0,1]$ and $\int_{0}^{1} \psi(y) dy=1$. Let $f:\mathbb{R} \rightarrow \mathbb{R}$ be a twice differentiable function. Then the value of $\lim _{n\rightarrow \infty}n \int_{0}^{100} f(x)\psi(nx)dx$ is $f(0)$ $f’(0)$ $f’’(0)$ $f(100)$
Sayan Bose
asked
in
Calculus
May 7, 2019
by
Sayan Bose
1.9k
views
isi2019-mma
engineering-mathematics
calculus
integration
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