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Recent questions tagged definiteintegral
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GATE Civil 2021 Set 2  Question: 18
The value ($\textit{round off to one decimal place}$) of $\int_{1}^{1}x\:e^{\left  x \right }dx$ is ______________
asked
Mar 1
in
Calculus
by
jothee
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5.2k
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gatecivil2021set2
numericalanswers
calculus
definiteintegral
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2
GATE2017 CE227
Consider the following definite integral: $I= \displaystyle{} \int_0^1 \dfrac{(\sin ^{1}x)^2}{\sqrt{1x^2}} dx$. The value of the integral is $\dfrac{\pi ^3}{24} \\$ $\dfrac{\pi ^3}{12} \\$ $\dfrac{\pi ^3}{48} \\$ $\dfrac{\pi ^3}{64}$
asked
Aug 7, 2019
in
Calculus
by
gatecse
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4k
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gate2017ce2
calculus
definiteintegral
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3
GATE2016229
The area between the parabola $x^2=8y$ and the straight line $y=8$ is _______.
asked
Mar 28, 2018
in
Calculus
by
Milicevic3306
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11.9k
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gate2016ce2
calculus
definiteintegral
areaundercurve
numericalanswers
0
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4
GATE2016127
The value of $\int_0^{\infty} \dfrac{1}{1+x^2} dx + \int _0^{\infty} \dfrac{\sin x}{x} dx$ is $\dfrac{\pi}{2} \\$ $\pi \\$ $\dfrac{3 \pi}{2} \\$ $1$
asked
Mar 28, 2018
in
Calculus
by
Milicevic3306
(
11.9k
points)
gate2016ce1
calculus
definiteintegral
0
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0
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5
GATE2016128
The area of the region bounded by the parabola $y=x^2+1$ and the straight line $x+y=3$ is $\dfrac{59}{6} \\$ $\dfrac{9}{2} \\$ $\dfrac{10}{3} \\$ $\dfrac{7}{6}$
asked
Mar 28, 2018
in
Calculus
by
Milicevic3306
(
11.9k
points)
gate2016ce1
calculus
definiteintegral
areaundercurve
0
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0
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6
GATE201523
Given, $i=\sqrt{1}$, the value of the definite integral, $I= \int_0^{\pi/2} \dfrac{\cos x+ i \sin x}{\cos x – i \sin x} dx$ is: $1$ $1$ $i$ $i$
asked
Mar 26, 2018
in
Calculus
by
Milicevic3306
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11.9k
points)
gate2015ce2
calculus
definiteintegral
0
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0
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7
GATE Civil 2013  Question: 28
The solution for $\int_0^{\pi/6} \cos^4 3 \theta \sin^3 6 \theta \: d \theta$ is $0 \\$ $\dfrac{1}{15} \\$ $1 \\$ $\dfrac{8}{3}$
asked
Mar 26, 2018
in
Calculus
by
Milicevic3306
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11.9k
points)
gate2013ce
calculus
definiteintegral
0
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0
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8
GATE2018 CE1: 26
The value of the integral $\int_0^{\pi} x \cos^2 x \: dx$ is $\pi^2/8$ $\pi^2/4$ $\pi^2/2$ $\pi^2$
asked
Feb 17, 2018
in
Calculus
by
gatecse
(
4k
points)
gate2018ce1
calculus
definiteintegral
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