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Consider the line integral ∫c⁡(xdy − ydx) the integral being taken in a counter clockwise direction over the closed curve C that forms the boundary of the region R shown in the figure below. The region R is the area enclosed by the union of a 2 × 3 rectangle and a semi-circle of radius 1. The line integral evaluates to
  • a)
    6 + π/2
  • b)
    8 + π
  • c)
    12 + π 
  • d)
    16 + 2π
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Consider the line integral ∫c(xdy − ydx) the integral being ...
Concept:
Green’s theorem states that:
Given, , i.e
P = -y
Q = x
⇒ 
= 2 × Area enclosed
= 2 [Area of rectangle + Area of semicircle]
⇒ 12 + π
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Community Answer
Consider the line integral ∫c(xdy − ydx) the integral being ...
Concept:
Green’s theorem states that:
Given, , i.e
P = -y
Q = x
⇒ 
= 2 × Area enclosed
= 2 [Area of rectangle + Area of semicircle]
⇒ 12 + π
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Consider the line integral ∫c(xdy − ydx) the integral being taken in a counter clockwise direction over the closed curve C that forms the boundary of the region R shown in the figure below. The region R is the area enclosed by the union of a 2 × 3 rectangle and a semi-circle of radius 1. The line integral evaluates toa)6 + π/2b)8 + πc)12 + πd)16 + 2πCorrect answer is option 'C'. Can you explain this answer?
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Consider the line integral ∫c(xdy − ydx) the integral being taken in a counter clockwise direction over the closed curve C that forms the boundary of the region R shown in the figure below. The region R is the area enclosed by the union of a 2 × 3 rectangle and a semi-circle of radius 1. The line integral evaluates toa)6 + π/2b)8 + πc)12 + πd)16 + 2πCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Consider the line integral ∫c(xdy − ydx) the integral being taken in a counter clockwise direction over the closed curve C that forms the boundary of the region R shown in the figure below. The region R is the area enclosed by the union of a 2 × 3 rectangle and a semi-circle of radius 1. The line integral evaluates toa)6 + π/2b)8 + πc)12 + πd)16 + 2πCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the line integral ∫c(xdy − ydx) the integral being taken in a counter clockwise direction over the closed curve C that forms the boundary of the region R shown in the figure below. The region R is the area enclosed by the union of a 2 × 3 rectangle and a semi-circle of radius 1. The line integral evaluates toa)6 + π/2b)8 + πc)12 + πd)16 + 2πCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Consider the line integral ∫c(xdy − ydx) the integral being taken in a counter clockwise direction over the closed curve C that forms the boundary of the region R shown in the figure below. The region R is the area enclosed by the union of a 2 × 3 rectangle and a semi-circle of radius 1. The line integral evaluates toa)6 + π/2b)8 + πc)12 + πd)16 + 2πCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE). Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of Consider the line integral ∫c(xdy − ydx) the integral being taken in a counter clockwise direction over the closed curve C that forms the boundary of the region R shown in the figure below. The region R is the area enclosed by the union of a 2 × 3 rectangle and a semi-circle of radius 1. The line integral evaluates toa)6 + π/2b)8 + πc)12 + πd)16 + 2πCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider the line integral ∫c(xdy − ydx) the integral being taken in a counter clockwise direction over the closed curve C that forms the boundary of the region R shown in the figure below. The region R is the area enclosed by the union of a 2 × 3 rectangle and a semi-circle of radius 1. The line integral evaluates toa)6 + π/2b)8 + πc)12 + πd)16 + 2πCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Consider the line integral ∫c(xdy − ydx) the integral being taken in a counter clockwise direction over the closed curve C that forms the boundary of the region R shown in the figure below. The region R is the area enclosed by the union of a 2 × 3 rectangle and a semi-circle of radius 1. The line integral evaluates toa)6 + π/2b)8 + πc)12 + πd)16 + 2πCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Consider the line integral ∫c(xdy − ydx) the integral being taken in a counter clockwise direction over the closed curve C that forms the boundary of the region R shown in the figure below. The region R is the area enclosed by the union of a 2 × 3 rectangle and a semi-circle of radius 1. The line integral evaluates toa)6 + π/2b)8 + πc)12 + πd)16 + 2πCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider the line integral ∫c(xdy − ydx) the integral being taken in a counter clockwise direction over the closed curve C that forms the boundary of the region R shown in the figure below. The region R is the area enclosed by the union of a 2 × 3 rectangle and a semi-circle of radius 1. The line integral evaluates toa)6 + π/2b)8 + πc)12 + πd)16 + 2πCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
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