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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.
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 ...
Hailemariam
308
views
Hailemariam
asked
Jun 2, 2023
Others
limits
integration
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–
0
votes
0
answers
2
LIMIT AND CONTINUITY integration
Depramine the area of region bounded by $y=2x^{2}+10$ and $y=4x+16$
Depramine the area of region bounded by $y=2x^{2}+10$ and $y=4x+16$
Hailemariam
77
views
Hailemariam
asked
Jun 1, 2023
Others
integration
limits
+
–
0
votes
0
answers
3
LIMIT AND CONTINUITY
Differentiate each of the following. $g(x)=\int ^{x}_{-4}e^{2t}cos^{2}(1-5t)dt$
Differentiate each of the following. $g(x)=\int ^{x}_{-4}e^{2t}cos^{2}(1-5t)dt$
Hailemariam
110
views
Hailemariam
asked
Jun 1, 2023
Others
limits
integration
+
–
0
votes
1
answer
4
LIMIT AND CONTINUITY
1.Evaluate the following definite integral $\int^{130}_{130}\frac{x^{3}-x\sin(x)+\cos(x)}{x^{^{2}}+1}dx$
1.Evaluate the following definite integral $\int^{130}_{130}\frac{x^{3}-x\sin(x)+\cos(x)}{x^{^{2}}+1}dx$
Hailemariam
275
views
Hailemariam
asked
Jun 1, 2023
Others
limits
continuity
integration
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–
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 $ $\dfrac{\ln x}{x}+C$ $\frac{1}{2}(\ln \ln x)^{2}+C$ $(\ln x)^{2}+C$ $(\ln \ln x)+C$
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$$(\l...
GO Classes
510
views
GO Classes
asked
Aug 28, 2022
Calculus
goclasses2024-calculus-1
goclasses
calculus
integration
2-marks
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–
0
votes
0
answers
6
Best Open Video Playlist for Integration Topic | Calculus
Please list out the best free available video playlist for Integration Topic from Calculus as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video lists. You can add ... standard ones are more likely to be selected as best. For the full list of selected videos please see here
Please list out the best free available video playlist for Integration Topic from Calculus as an answer here (only one playlist per answer). We'll then select the best pl...
makhdoom ghaya
240
views
makhdoom ghaya
asked
Aug 15, 2022
Study Resources
missing-videos
free-videos
video-links
go-classroom
integration
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–
0
votes
0
answers
7
math book
$\int_{0}^{1}\tan^{-1} (1-\frac{1}{x})$ d(x) find
$\int_{0}^{1}\tan^{-1} (1-\frac{1}{x})$ d(x) find
amit166
329
views
amit166
asked
Sep 25, 2021
Calculus
integration
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–
0
votes
1
answer
8
#mathematics
What is the difference between Integration and Summation? Which one produces a greater value in the same range?
What is the difference between Integration and Summation?Which one produces a greater value in the same range?
Crackca
361
views
Crackca
asked
Sep 14, 2021
Calculus
integration
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–
1
votes
1
answer
9
NIELIT 2016 MAR Scientist B - Section B: 9
The value of improper integral $\displaystyle\int_{0}^{1} x\ln x =?$ $1/4$ $0$ $-1/4$ $1$
The value of improper integral $\displaystyle\int_{0}^{1} x\ln x =?$$1/4$$0$$-1/4$$1$
admin
714
views
admin
asked
Mar 31, 2020
Calculus
nielit2016mar-scientistb
engineering-mathematics
calculus
integration
definite-integral
+
–
1
votes
2
answers
10
NIELIT 2016 MAR Scientist B - Section B: 11
What is the derivative w.r.t $x$ of the function given by $\large \Phi(x)= \displaystyle \int_{0}^{x^2}\sqrt t\:dt$, $2x^2$ $\sqrt x$ $0$ $1$
What is the derivative w.r.t $x$ of the function given by$\large \Phi(x)= \displaystyle \int_{0}^{x^2}\sqrt t\:dt$,$2x^2$$\sqrt x$$0$$1$
admin
532
views
admin
asked
Mar 31, 2020
Calculus
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
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
708
views
Arjun
asked
Sep 23, 2019
Calculus
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 $\alpha$ $[\alpha]$ $1$ $\dfrac{[\alpha] + [\alpha +1]}{2}$
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$$\dfrac{[\alph...
Arjun
564
views
Arjun
asked
Sep 23, 2019
Calculus
isi2014-dcg
calculus
integration
definite-integral
+
–
1
votes
1
answer
13
ISI2014-DCG-47
The value of the definite integral $\int_0^{\pi} \mid \frac{1}{2} + \cos x \mid dx$ is $\frac{\pi}{6} + \sqrt{3}$ $\frac{\pi}{6} - \sqrt{3}$ $0$ $\frac{1}{2}$
The value of the definite integral $\int_0^{\pi} \mid \frac{1}{2} + \cos x \mid dx$ is$\frac{\pi}{6} + \sqrt{3}$$\frac{\pi}{6} - \sqrt{3}$$0$$\frac{1}{2}$
Arjun
499
views
Arjun
asked
Sep 23, 2019
Calculus
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}$ $1$
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}$$1$
Arjun
588
views
Arjun
asked
Sep 23, 2019
Calculus
isi2014-dcg
calculus
integration
definite-integral
+
–
1
votes
1
answer
15
ISI2015-MMA-77
Let $R$ be the triangle in the $xy$ – plane bounded by the $x$-axis, the line $y=x$, and the line $x=1$. The value of the double integral $ \int \int_R \frac{\sin x}{x}\: dxdy$ is $1-\cos 1$ $\cos 1$ $\frac{\pi}{2}$ $\pi$
Let $R$ be the triangle in the $xy$ – plane bounded by the $x$-axis, the line $y=x$, and the line $x=1$. The value of the double integral $$ \int \int_R \frac{\sin x}{x...
Arjun
505
views
Arjun
asked
Sep 23, 2019
Calculus
isi2015-mma
integration
non-gate
+
–
1
votes
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
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$$(\sin x + \cos x)^2+K$$- \fra...
gatecse
353
views
gatecse
asked
Sep 18, 2019
Calculus
isi2015-dcg
calculus
integration
+
–
1
votes
1
answer
17
ISI2015-DCG-51
The area bounded by $y=x^2-4$, $y=0$ and $x=4$ is $\frac{64}{3}$ $6$ $\frac{16}{3}$ $\frac{32}{3}$
The area bounded by $y=x^2-4$, $y=0$ and $x=4$ is$\frac{64}{3}$$6$$\frac{16}{3}$$\frac{32}{3}$
gatecse
409
views
gatecse
asked
Sep 18, 2019
Calculus
isi2015-dcg
integration
definite-integral
+
–
1
votes
1
answer
18
ISI2016-DCG-46
Let $I=\int(\sin\:x-\cos\:x)(\sin\:x+\cos\:x)^{3}dx$ and $K$ be a constant of integration. Then the value of $I$ is $(\sin\:x+\cos\:x)^{4}+K$ $(\sin\:x+\cos\:x)^{2}+K$ $-\frac{1}{4}(\sin\:x+\cos\:x)^{4}+K$ None of these
Let $I=\int(\sin\:x-\cos\:x)(\sin\:x+\cos\:x)^{3}dx$ and $K$ be a constant of integration. Then the value of $I$ is$(\sin\:x+\cos\:x)^{4}+K$$(\sin\:x+\cos\:x)^{2}+K$$-\fr...
gatecse
389
views
gatecse
asked
Sep 18, 2019
Calculus
isi2016-dcg
calculus
integration
non-gate
+
–
2
votes
1
answer
19
ISI2018-MMA-29
Let $f$ be a continuous function with $f(1) = 1$. Define $F(t)=\int_{t}^{t^2}f(x)dx$. The value of $F’(1)$ is $-2$ $-1$ $1$ $2$
Let $f$ be a continuous function with $f(1) = 1$. Define $$F(t)=\int_{t}^{t^2}f(x)dx$$.The value of $F’(1)$ is$-2$$-1$$1$$2$
akash.dinkar12
1.1k
views
akash.dinkar12
asked
May 11, 2019
Calculus
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 $f(0)$ $f’(0)$ $f’’(0)$ $f(100)$
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} \rig...
Sayan Bose
1.9k
views
Sayan Bose
asked
May 7, 2019
Calculus
isi2019-mma
engineering-mathematics
calculus
integration
+
–
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