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Recent questions tagged integration
0
votes
0
answers
1
ISI2018MMA29
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 $2$ $1$ $1$ $2$
asked
May 11
in
Calculus
by
akash.dinkar12
Boss
(
40.5k
points)

33
views
isi2018
engineeringmathematics
calculus
integration
0
votes
1
answer
2
ISI2019MMA29
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 $f(0)$ $f’(0)$ $f’’(0)$ $f(100)$
asked
May 7
in
Calculus
by
Sayan Bose
Loyal
(
6.9k
points)

347
views
isi2019
engineeringmathematics
calculus
integration
0
votes
1
answer
3
ISI2019MMA25
Let $a,b,c$ be nonzero 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 $(0,2)$
asked
May 7
in
Calculus
by
Sayan Bose
Loyal
(
6.9k
points)

203
views
isi2019
engineeringmathematics
calculus
integration
0
votes
0
answers
4
How to solve such question.
$\frac{d}{dx}\int_{1}^{x^4} sect\space dt$
asked
Jan 20
in
Calculus
by
`JEET
Active
(
3.4k
points)

86
views
calculus
integration
0
votes
0
answers
5
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.
asked
Jan 12
in
Calculus
by
jhaanuj2108
(
227
points)

67
views
acetestseries
calculus
integration
0
votes
0
answers
6
#integration
I=$\int_{1}^{\infty }a^{ceil (log _{b} x ) } dx$
asked
Jan 3
in
Calculus
by
amit166
Junior
(
761
points)

47
views
integration
0
votes
0
answers
7
#integration
$I=\int sin(2x) cos(3x) dx$ 1.(5cosxcos5x)/10 2.(5sinxsin5x)/10 3.both 4.none
asked
Jan 3
in
Calculus
by
amit166
Junior
(
761
points)

65
views
integration
0
votes
0
answers
8
TIFR2019A13
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 ? $0.00$ $0.02$ $0.10$ $0.33$ $1.00$
asked
Dec 18, 2018
in
Calculus
by
Arjun
Veteran
(
400k
points)

177
views
tifr2019
engineeringmathematics
calculus
integration
+3
votes
1
answer
9
TIFR GS 2019
How to solve it$?$ $\int_{0}^{1}\frac{x^{300}}{(x^{3}+x^{2}+1)}dx$ a.0.00 b.0.33 c.0.02 d.0.03 d.0.04 two decimal digit
asked
Dec 9, 2018
in
Calculus
by
amit166
Junior
(
761
points)

531
views
integration
usertifr2019
usermod
0
votes
0
answers
10
Gilbert Strang
$\int_{1}^{∞}\frac{dx}{x^6+1}$
asked
Nov 22, 2018
in
Calculus
by
aditi19
Active
(
3.5k
points)

71
views
gilbertstrang
calculus
engineeringmathematics
integration
+2
votes
1
answer
11
CalculusIntegration
$\int x^7.e^{x^4}dx$ How to do this?
asked
Nov 22, 2018
in
Calculus
by
Ayush Upadhyaya
Boss
(
25.4k
points)

111
views
calculus
integration
0
votes
1
answer
12
Integration
$\int_{0}^{1}\frac{x^{\alpha }1}{logx}dx$ where $\alpha>0$
asked
Nov 16, 2018
in
Calculus
by
srestha
Veteran
(
114k
points)

87
views
integration
calculus
engineeringmathematics
0
votes
0
answers
13
Gilbert Strang
$\int_{}^{}\frac{x dx}{\sqrt{x^41}}$
asked
Nov 14, 2018
in
Calculus
by
aditi19
Active
(
3.5k
points)

46
views
gilbertstrang
calculus
engineeringmathematics
integration
0
votes
1
answer
14
Gilbert Strang
Differentiate y=$x^{1/lnx}$
asked
Oct 28, 2018
in
Calculus
by
aditi19
Active
(
3.5k
points)

42
views
gilbertstrang
calculus
integration
engineeringmathematics
0
votes
0
answers
15
Gilbert Strang
$\int_{0}^{1}(x^2+1)^4dx$
asked
Oct 25, 2018
in
Calculus
by
aditi19
Active
(
3.5k
points)

66
views
gilbertstrang
calculus
integration
0
votes
1
answer
16
Gilbert Strang
$\int \frac{x^3}{\sqrt{1+x^2}}.dx$
asked
Oct 24, 2018
in
Calculus
by
aditi19
Active
(
3.5k
points)

104
views
integration
calculus
engineeringmathematics
definiteintegration
+1
vote
1
answer
17
CalculusDefinite Integral
What is the value of $\int_0^\pi log(1+cosx)dx$
asked
Oct 13, 2018
in
Calculus
by
Ayush Upadhyaya
Boss
(
25.4k
points)

74
views
calculus
integration
engineeringmathematics
0
votes
1
answer
18
Integration
Solve $\int_{0}^{\pi }sin^{5}\frac{x}{2}dx$
asked
Oct 6, 2018
in
Calculus
by
srestha
Veteran
(
114k
points)

97
views
integration
calculus
engineeringmathematics
0
votes
1
answer
19
Area between curves
The area between the parabola $x^2 = 8y$ and the straight line y= 8 is . I am getting $128√2$.
asked
Sep 3, 2018
in
Calculus
by
Jason
Active
(
1.5k
points)

36
views
engineeringmathematics
integration
0
votes
1
answer
20
Definite Integral
S = $\int_{0}^{2\Pi } \sqrt{4cos^{2}t +sin^{2}t} \, \, dt$ Please explain how to solve it.
asked
Jun 11, 2018
in
Calculus
by
ankitgupta.1729
Boss
(
11.3k
points)

133
views
calculus
integration
engineeringmathematics
integrals
0
votes
0
answers
21
Integration
$f\left ( x \right )=$\int_{2}^{2}x^{\frac{2}{7}}dx$ Is this function f(x) is continuous, bounded and differentiable? (In exam hall is it possible to draw the graph for this function f(x), or some other procedure to follow to ans this)
asked
May 18, 2018
in
Calculus
by
srestha
Veteran
(
114k
points)

202
views
integration
0
votes
0
answers
22
Integration
Evaluate $\Large\int_3^7 \sqrt[4]{(x3)(7x)} dx$
asked
Apr 28, 2018
in
Calculus
by
kd.....
Junior
(
917
points)

72
views
integration
0
votes
0
answers
23
Multiple integration
Evaluate $\Large\int_1^4\Large\int_\sqrt{y}^2(x^{2}+y^{2})dA $ by changing the order of integration
asked
Apr 28, 2018
in
Calculus
by
kd.....
Junior
(
917
points)

59
views
integration
0
votes
3
answers
24
Integration
$\int \left ( \sin\theta \right )^{\frac{1}{2}}d\theta$
asked
Apr 24, 2018
in
Calculus
by
srestha
Veteran
(
114k
points)

115
views
calculus
integration
0
votes
0
answers
25
ISI2017MMA25
For $a,b \in \mathbb{R}$ and $b > a$ , the maximum possible value of the integral $\int_{a}^{b}(7xx^{2}10)dx$ is $\frac{7}{2}\\$ $\frac{9}{2}\\$ $\frac{11}{2}\\$ none of these
asked
Apr 24, 2018
in
Calculus
by
Tesla!
Boss
(
18.6k
points)

129
views
isi2017
engineeringmathematics
calculus
integration
0
votes
0
answers
26
Calculus Integration
$I=\int_{3}^{7}((x3)(7x))^{\frac{1}{4}}dx$
asked
Apr 24, 2018
in
Calculus
by
kd.....
Junior
(
917
points)

106
views
engineeringmathematics
calculus
integration
0
votes
1
answer
27
ISI201407
The value of the integral ${\LARGE \int} _{0}^{\pi}\dfrac{x}{1+sin^2x}dx$ is $2\sqrt2\pi^2$ $\dfrac{\pi^2}{2\sqrt2}$ $\dfrac{\pi^2}{\sqrt2}$ $\sqrt2\pi^2$
asked
Mar 17, 2018
in
Mathematical Logic
by
jjayantamahata
Active
(
1.8k
points)

105
views
integration
0
votes
3
answers
28
ISI20145
The value of $\displaystyle{\lim_{x\to 0}}$ $\sin x \sin(\dfrac{1}{x})$ $\text{is 0}$ $\text{is 1}$ $\text{is 2}$ $\text{does not exist}$
asked
Mar 17, 2018
in
Mathematical Logic
by
jjayantamahata
Active
(
1.8k
points)

125
views
integration
+1
vote
1
answer
29
EE: GATE 2018 Maths  18(Electrical Engineering)
Let $f$ be a realvalued function of a real variable defined as $f(x) = x  [ x ]$ , where $ [ x ]$ denotes the largest integer less than or equal to $x$. The value of ${\LARGE \int}_{0.25}^{1.25} \! f(x) \, \mathrm{d}x$ is  (upto $2$ decimal places).
asked
Feb 21, 2018
in
Calculus
by
Lakshman Patel RJIT
Boss
(
36.3k
points)

212
views
gate2018
engineeringmathematics
calculus
integration
normal
+7
votes
6
answers
30
GATE201816
The value of $\int^{\pi/4} _0 x \cos(x^2) dx$ correct to three decimal places (assuming that $\pi = 3.14$) is ____
asked
Feb 14, 2018
in
Calculus
by
gatecse
Boss
(
18.2k
points)

3.9k
views
gate2018
calculus
integration
normal
numericalanswers
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