Recent questions tagged integration

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1

How to solve such question.
$\frac{d}{dx}\int_{1}^{x^4} sect\space dt$

asked Jan 20 in Calculus by `JEET Active (3.3k points) | 74 views

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0 answers

2

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 (217 points) | 55 views

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0 answers

3

#integration
I=$\int_{1}^{\infty }a^{-ceil (log _{b} x ) } dx$

asked Jan 3 in Calculus by amit166 Junior (713 points) | 43 views

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0 answers

4

#integration
$I=\int sin(2x) cos(3x) dx$ 1.(5cosx-cos5x)/10 2.(5sinx-sin5x)/10 3.both 4.none

asked Jan 3 in Calculus by amit166 Junior (713 points) | 61 views

+3 votes

1 answer

5

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 (713 points) | 508 views

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6

Gilbert Strang
$\int_{1}^{∞}\frac{dx}{x^6+1}$

asked Nov 22, 2018 in Calculus by aditi19 Active (2.4k points) | 65 views

+2 votes

1 answer

7

Calculus-Integration
$\int x^7.e^{x^4}dx$ How to do this?

asked Nov 22, 2018 in Calculus by Ayush Upadhyaya Boss (24.9k points) | 107 views

0 votes

1 answer

8

Integration
$\int_{0}^{1}\frac{x^{\alpha }-1}{logx}dx$ where $\alpha>0$

asked Nov 16, 2018 in Calculus by srestha Veteran (109k points) | 80 views

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0 answers

9

Gilbert Strang
$\int_{}^{}\frac{x dx}{\sqrt{x^4-1}}$

asked Nov 14, 2018 in Calculus by aditi19 Active (2.4k points) | 44 views

0 votes

1 answer

10

Gilbert Strang
Differentiate y=$x^{-1/lnx}$

asked Oct 28, 2018 in Calculus by aditi19 Active (2.4k points) | 40 views

0 votes

0 answers

11

Gilbert Strang
$\int_{0}^{1}(x^2+1)^4dx$

asked Oct 25, 2018 in Calculus by aditi19 Active (2.4k points) | 62 views

0 votes

1 answer

12

Gilbert Strang
$\int \frac{x^3}{\sqrt{1+x^2}}.dx$

asked Oct 24, 2018 in Calculus by aditi19 Active (2.4k points) | 99 views

+1 vote

1 answer

13

Calculus-Definite Integral
What is the value of $\int_0^\pi log(1+cosx)dx$

asked Oct 13, 2018 in Calculus by Ayush Upadhyaya Boss (24.9k points) | 73 views

0 votes

1 answer

14

Integration
Solve $\int_{0}^{\pi }sin^{5}\frac{x}{2}dx$

asked Oct 6, 2018 in Calculus by srestha Veteran (109k points) | 93 views

0 votes

1 answer

15

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) | 34 views

0 votes

1 answer

16

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 Loyal (10k points) | 131 views

0 votes

0 answers

17

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 (109k points) | 200 views

0 votes

0 answers

18

Integration
Evaluate $\Large\int_3^7 \sqrt[4]{(x-3)(7-x)} dx$

asked Apr 28, 2018 in Calculus by kd..... Junior (851 points) | 70 views

0 votes

0 answers

19

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 (851 points) | 58 views

0 votes

3 answers

20

Integration
$\int \left ( \sin\theta \right )^{\frac{1}{2}}d\theta$

asked Apr 24, 2018 in Calculus by srestha Veteran (109k points) | 114 views

0 votes

0 answers

21

Calculus Integration
$I=\int_{3}^{7}((x-3)(7-x))^{\frac{1}{4}}dx$

asked Apr 24, 2018 in Calculus by kd..... Junior (851 points) | 101 views

0 votes

1 answer

22

ISI-2014-07
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 (1.7k points) | 102 views

0 votes

3 answers

23

ISI-2014-5
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 (1.7k points) | 124 views

+1 vote

1 answer

24

GATE 2018 Maths - 18(Electrical Engineering)
Let $f$ be a real-valued 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 (29.4k points) | 200 views

+7 votes

6 answers

25

GATE2018-16
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 (18.3k points) | 3.8k views

0 votes

1 answer

26

Integral calculus - +2 maths book
When evaluating definite integrals for odd functions the answer will come as 0 as equal areas symmetric to x-axis will cancel out and give 0.But then should we take the modulus values and add?If area is asked then definitely we should do that.Please have ... answer as 0 but if I take mod values by splitting intervals then I get the answer as 2 log 2 which is given.

asked Feb 13, 2018 in Calculus by Surajit Active (3.2k points) | 104 views

0 votes

0 answers

27

Test series
$\int_{0}^{2\pi } ( \sqrt{1 - sin 2x }) dx$ = $\int_{0}^{2\pi } ( \sqrt{sin^{2}x + cos^{2}x - 2sinxcosx }) dx$ =$\int_{0}^{2\pi } | sin x - cos x | dx$ after this how to break into interval please help

asked Jan 30, 2018 in Mathematical Logic by sumit goyal 1 Boss (12.3k points) | 61 views

+2 votes

2 answers

28

Integration
$\int_{-4}^{4}\left | x-3 \right |dx$

asked Jan 26, 2018 in Calculus by srestha Veteran (109k points) | 151 views

+1 vote

2 answers

29

Integration- CE 2013
Find the value of the integral $\int_{0}^{\pi/6}cos^43\theta\ sin^36\theta\ d\theta$ Please show the steps.(upload a pic of your solution) a) 0 b) 1/15 c) 8/3 d) 1

asked Jan 25, 2018 in Calculus by Tuhin Dutta Loyal (9.2k points) | 181 views

+1 vote

0 answers

30

Integration area of curve
x 0 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 f(x) 0 0.09 0.36 0.81 1.44 2.25 3.24 4.41 5.76 The value of the below integral computed using the continuous at x = 3? $\int_{0}^{3} f(x) dx$ a) 8.983 b) 9.003 c) 9.017 d) 9.045

asked Jan 25, 2018 in Calculus by Tuhin Dutta Loyal (9.2k points) | 81 views

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