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Recent questions tagged integration

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63
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
$\int_{0}^{2\pi } ( \sqrt{1 - sin 2x }) dx$= $\int_{0}^{2\pi } ( \sqrt{sin^{2}x + cos^{2}x - 2sinxcosx }) dx$=$\int_{0}^{2\pi } | sin x - cos x | dx$after this how to bre...
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2 votes
2 answers
64
Integration
$\int_{-4}^{4}\left | x-3 \right |dx$
$\int_{-4}^{4}\left | x-3 \right |dx$
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1 votes
2 answers
65
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
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) 0b) 1/15c) 8/3d) 1
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1 votes
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66
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
x00.30.60.91.21.51.82.12.4f(x)00.090.360.811.442.253.244.415.76The value of the below integral computed using the continuous at x = 3?$$\int_{0}^{3} f(x) dx$$a) 8.983b) 9...
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2 votes
1 answer
67
Integration
$\int_{0}^{\frac{\pi }{2}}\frac{cosx}{2\sqrt{1-sinx}}dx=?$
$\int_{0}^{\frac{\pi }{2}}\frac{cosx}{2\sqrt{1-sinx}}dx=?$
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4 votes
1 answer
68
Integration
Value of an Integral : I = $\frac{1}{\sqrt{2\Pi }} \int_{0}^{\infty } e^{\frac{-x^{2}}{8}}dx$ Answer given is 1.
Value of an Integral :I = $\frac{1}{\sqrt{2\Pi }} \int_{0}^{\infty } e^{\frac{-x^{2}}{8}}dx$Answer given is 1.
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2 votes
3 answers
69
integration
$\int_{-4}^{4}|3-x|dx$ a) 13 b)8 c)25 d)24
$\int_{-4}^{4}|3-x|dx$a) 13 b)8 c)25 d)24
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1 votes
1 answer
70
ace test series
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3 votes
1 answer
71
integration question
$f(x) = \int_{- \infty}^{\infty} f(x) e^{2\pi x} dx$ solve f(x)
$f(x) = \int_{- \infty}^{\infty} f(x) e^{2\pi x} dx$solve f(x)
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5 votes
1 answer
72
Integration
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1 votes
1 answer
73
Area Bounded By Curve
Let f(x)=x−(1/2) and A denote the area of region bounded by f(x) and the x-axis, when x varies from -1 to 1. A is nonzero and finite??
Let f(x)=x−(1/2) and A denote the area of region bounded by f(x) and the x-axis, when x varies from -1 to 1.A is nonzero and finite??
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5 votes
3 answers
74
ISI2004-MIII: 13
Let $X =\frac{1}{1001}+\frac{1}{1002}+\frac{1}{1003}+\ldots+\frac{1}{3001}$. Then $X< 1$ $X>\frac{3}{2}$ $1< X< \frac{3}{2}$ none of the above
Let $X =\frac{1}{1001}+\frac{1}{1002}+\frac{1}{1003}+\ldots+\frac{1}{3001}$. Then$X< 1$$X>\frac{3}{2}$$1< X< \frac{3}{2}$none of the above
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1 votes
2 answers
75
ISRO 2013- Area under curve [EE]
The area bounded by the curves $y^2$ = 9x, x - y + 2 = 0 is given by a) 1 b) 1/2 C) 3/2 d) 5/4
The area bounded by the curves $y^2$ = 9x, x - y + 2 = 0 is given bya) 1b) 1/2C) 3/2d) 5/4
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1 votes
3 answers
76
ISRO2006-ECE calculus
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2 votes
0 answers
77
Integration doubt
How to integrate: $\int e^{-x^{2}} dx$ More specifically, how to integrate standard normal distribution function from 0 to a?
How to integrate: $\int e^{-x^{2}} dx$More specifically, how to integrate standard normal distribution function from 0 to a?
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1 answer
78
how to integrate this
$\int_{1}^{n}\frac{dt}{log (t)}$
$\int_{1}^{n}\frac{dt}{log (t)}$
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2 votes
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79
How to integrate this
$\int_{1}^{n} \frac{u^{-1/3}}{log u} du$
$\int_{1}^{n} \frac{u^{-1/3}}{log u} du$
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2 answers
80
Integration
what is the integration of this funcion? f(x)=1−|x| where −1≤x≤1
what is the integration of this funcion? f(x)=1−|x| where −1≤x≤1
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2 votes
3 answers
81
Integration
Solve the following $\int_{0}^{\infty}e^{-x^2}x^4dx$
Solve the following $\int_{0}^{\infty}e^{-x^2}x^4dx$
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83
Itegration
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1 votes
3 answers
84
Evaluate the following definite integral ?
Evaluate the following definite integral : $\int \limits_0^1 \log \left(\frac{1}{x} - 1 \right)$
Evaluate the following definite integral :$\int \limits_0^1 \log \left(\frac{1}{x} - 1 \right)$
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3 votes
1 answer
86
Gate_EE_2006
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1 votes
2 answers
87
Integration in Sinx and Cosx
My answer is coming 0. Please explain.
My answer is coming 0. Please explain.
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1 votes
0 answers
89
TIFR-2011-Maths-B-14
Let $f$ be a continuous integrable function of $\mathbb{R}$ such that either $f(x) > 0$ or $f(x) + f(x + 1) > 0$ for all $x \in \mathbb{R}$. Then $\int_{-\infty}^{\infty} f(x) \text{d}x > 0$.
Let $f$ be a continuous integrable function of $\mathbb{R}$ such that either $f(x) 0$ or $f(x) + f(x + 1) 0$ for all $x \in \mathbb{R}$. Then $\int_{-\infty}^{\infty} f...
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