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Recent questions tagged integration
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0
answers
1
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
by
makhdoom ghaya
18
views
missing-videos
free-videos
video-links
go-classroom
integration
0
votes
0
answers
2
math book
$\int_{0}^{1}\tan^{-1} (1-\frac{1}{x})$ d(x) find
amit166
asked
in
Calculus
Sep 25, 2021
by
amit166
165
views
integration
0
votes
1
answer
3
#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
117
views
integration
0
votes
1
answer
4
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 Patel RJIT
asked
in
Calculus
Mar 31, 2020
by
Lakshman Patel RJIT
341
views
nielit2016mar-scientistb
engineering-mathematics
calculus
integration
definite-integral
0
votes
2
answers
5
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 Patel RJIT
asked
in
Calculus
Mar 31, 2020
by
Lakshman Patel RJIT
331
views
nielit2016mar-scientistb
engineering-mathematics
calculus
integration
definite-integral
2
votes
1
answer
6
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
469
views
isi2014-dcg
calculus
definite-integral
integration
3
votes
1
answer
7
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
307
views
isi2014-dcg
calculus
integration
definite-integral
1
vote
1
answer
8
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
278
views
isi2014-dcg
calculus
integration
definite-integral
0
votes
1
answer
9
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
362
views
isi2014-dcg
calculus
integration
definite-integral
1
vote
1
answer
10
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
284
views
isi2015-mma
integration
non-gate
1
vote
1
answer
11
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
179
views
isi2015-dcg
calculus
integration
1
vote
1
answer
12
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
205
views
isi2015-dcg
integration
definite-integral
1
vote
1
answer
13
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
203
views
isi2016-dcg
calculus
integration
non-gate
2
votes
1
answer
14
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
681
views
isi2018-mma
engineering-mathematics
calculus
integration
1
vote
1
answer
15
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
1.5k
views
isi2019-mma
engineering-mathematics
calculus
integration
1
vote
1
answer
16
ISI2019-MMA-28
Consider the functions $f,g:[0,1] \rightarrow [0,1]$ given by $f(x)=\frac{1}{2}x(x+1) \text{ and } g(x)=\frac{1}{2}x^2(x+1).$ Then the area enclosed between the graphs of $f^{-1}$ and $g^{-1}$ is $1/4$ $1/6$ $1/8$ $1/24$
Sayan Bose
asked
in
Calculus
May 7, 2019
by
Sayan Bose
1.6k
views
isi2019-mma
calculus
engineering-mathematics
integration
0
votes
1
answer
17
ISI2019-MMA-25
Let $a,b,c$ be non-zero real numbers such that $\int_{0}^{1} (1 + \cos^8x)(ax^2 + bx +c)dx = \int_{0}^{2}(1+ \cos^8x)(ax^2 + bx + c) dx =0$ Then the quadratic equation $ax^2 + bx +c=0$ has no roots in $(0,2)$ one root in $(0,2)$ and one root outside this interval one repeated root in $(0,2)$ two distinct real roots in $(0,2)$
Sayan Bose
asked
in
Calculus
May 7, 2019
by
Sayan Bose
876
views
isi2019-mma
engineering-mathematics
calculus
integration
0
votes
0
answers
18
How to solve such question.
$\frac{d}{dx}\int_{1}^{x^4} sect\space dt$
`JEET
asked
in
Calculus
Jan 20, 2019
by
`JEET
292
views
calculus
integration
0
votes
0
answers
19
Ace Test Series: Calculus - Integration
Can anyone help me with solving this type of problem? I want some resource from where I can learn to solve this type on integration, as according to solution it is a function of α, so I did not understand the solution.
jhaanuj2108
asked
in
Calculus
Jan 12, 2019
by
jhaanuj2108
326
views
ace-test-series
calculus
integration
0
votes
0
answers
20
#integration
I=$\int_{1}^{\infty }a^{-ceil (log _{b} x ) } dx$
amit166
asked
in
Calculus
Jan 3, 2019
by
amit166
169
views
integration
0
votes
0
answers
21
#integration
$I=\int sin(2x) cos(3x) dx$ 1.(5cosx-cos5x)/10 2.(5sinx-sin5x)/10 3.both 4.none
amit166
asked
in
Calculus
Jan 3, 2019
by
amit166
229
views
integration
7
votes
2
answers
22
TIFR CSE 2019 | Part A | Question: 13
Consider the integral $\int^{1}_{0} \frac{x^{300}}{1+x^2+x^3} dx$ What is the value of this integral correct up to two decimal places? $0.00$ $0.02$ $0.10$ $0.33$ $1.00$
Arjun
asked
in
Calculus
Dec 18, 2018
by
Arjun
1.7k
views
tifr2019
engineering-mathematics
calculus
integration
1
vote
0
answers
23
NIELIT 2018-16
The value of $\int_c \frac{2x^2-5}{(x+2)^2 (x^2+4)x^2}dx$, (where $c$ is the square with vertices $1+i, 2+i, 2+2i, i+2i$) is: $0$ $\pi i$ $2 \pi i$ $4 \pi i$
Arjun
asked
in
Others
Dec 7, 2018
by
Arjun
417
views
nielit-2018
non-gate
integration
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Recent questions tagged integration
Recent Blog Comments
previous years than GATE 2010 paper
Which link are you referring to?
@Arjun I am not able to see GATE 2010...
Should be working now
@Arjun Sir but it is not working. i dont know...