Vector integration Green's theorem best & easy example(PART-1)

In this video explaining one problem of Green's theorem. This theorem is verify both side. This very simple problem. Vector integration is a branch of calculus that deals with integrating vector fields which are functions that assign a vector to each point in space. One important theorem in vector integration is Green's theorem which relates the line integral of a vector field around a closed curve to the double integral of the curl of the vector field over the region enclosed by the curve.
#easymathseasytricks #vector #curl
18MAT21 MODULE 1:Vector Calculus
• Vector Calculus
18MAT21 MODULE 2:Differential Equation higher order
• Ordinary Differential ...
18MAT21 MODULE 3: Partial differential equations
• Partial differential e...
18MAT21 MODULE 4: Infiinite series & Power series solution
• Special Functions
18MAT21 MODULE 5: Numerical methods
• Numerical methods
18MAT11 Module1: Differential Calculus1
• Differential Calculus1...
18MAT11 Module2: differential Calculus2
• Series Expansion & Mul...
18MAT11 Module3: Integral Calculus • Multiple Integrals & B...
18MAT11 Module4: Ordinary differential equations
• Ordinary differential ...
Linear Algebra: 18MAT11 MODULE 5
• Linear Algebra: 22MAT11
LAPLACE TRANSFORM : 18MAT31
• LAPLACE TRANSFORM
Fourier Transforms Z-transform : 18MAT31 & 17MAT31
• Fourier Transforms,Z-t...
Fourier Series: 18MAT31 & 17MAT31
• Fourier Series: 21MAT3...
Calculus of Variation & Numerical Methods 18MAT31
• Numerical Solution of ...
Numerical Methods ODE's: 18MAT31 & 17MAT41
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Joint Probability & Sampling Theory: 18MAT41 & 17MAT41
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Probability Distributions: 18MAT41 & 17MAT41
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Calculus of Complex Functions: 18MAT41 & 17MAT41
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Curve fitting & Statistical Method 18MAT41 17MAT31
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[@adityasharma11057]

Thank You Sir
Now I understand the concept of Green's Theorm.
but one query Green's theorm mein ane wala example and question ka answer bhi ese step se hoga.
Please Response Sir.
Thank You
Aditya Sharma
Shimla (Himachal Pradesh)

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Thank you sir 👍

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Sir i had got -3/2 both lhs and rhs
It is correct or wrong
I have x2 has lower limit by mistake

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[@lavanipriys5850]

Can you help me solve this Question: Verify Green's theorem for ∮(x2−y2)dx+(2xy)dy where c is boundary of the region defined by y= x^2, y = 9 & y axis
Thank you

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Take any one of the functions independent,and the other dependent. So if you take x from some number to another number then take y in the term of x(dependent on x) by the given information, in the video it was y which was dependent on x ,that was x² to√x. But x was independent from orgin (0) to terminal point (1).

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