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VTU Engineering Maths 1 change into Polar coordinates interesting examplePART10
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=PKz0EEjO_Lg
In this video explaining change into polar coordinates. This method is very easy and simple. This integration is doable integration. • Here are the steps involved in changing an integral from Cartesian to polar coordinates: • Determine the region of integration: You will need to identify the limits of integration in terms of r and θ. • Express x and y in terms of r and θ: This involves using the equations x = r cos θ and y = r sin θ to convert the integrand from Cartesian coordinates to polar coordinates. • Calculate the Jacobian: This is the determinant of the transformation matrix that converts from Cartesian to polar coordinates. In two dimensions the Jacobian is simply r. • Rewrite the integral in terms of r and θ: This involves replacing x and y with their polar coordinate equivalents and replacing dxdy with r dr dθ. • Evaluate the new integral: This involves integrating the integrand using the new limits of integration. • Check your work: Make sure that the result of the new integral is consistent with the original integral. • #changeintoPolar #integration • 18MAT11 Module1: Differential Calculus1 • • Differential Calculus1: 22MAT11 • 18MAT11 Module2: differential Calculus2 • • Series Expansion Multivariable Calc... • 18MAT11 Module3: Integral Calculus • Multiple Integrals Beta and Gamma f... • 18MAT11 Module4: Ordinary differential equations • • Ordinary differential equations (ODE'... • Linear Algebra: 18MAT11 MODULE 5 • • Linear Algebra: 22MAT11 • 18MAT21 MODULE 1:Vector Calculus • • Vector Calculus • 18MAT21 MODULE 2:Differential Equation higher order • • Ordinary Differential Equation of Hig... • 18MAT21 MODULE 3: Partial differential equations • • Partial differential equations • 18MAT21 MODULE 4: Infiinite series Power series solution • • Special Functions • 18MAT21 MODULE 5: Numerical methods • • Numerical methods • 18MATDIP41 Linear Algebra • • 18MATDIP41 Linear Algebra • 18MATDIP41 Numerical Methods • • 18MATDIP41 Numerical Methods • LAPLACE TRANSFORM : 18MAT31 • • LAPLACE TRANSFORM • Fourier Transforms,Z-transform : 18MAT31 17MAT31 • • Fourier Transforms,Z-transform: 21MAT... • Joint Probability Sampling Theory: 18MAT41 17MAT41 • • Joint Probability Sampling Theory • Probability Distributions: 18MAT41 17MAT41 • • Probability Distributions • Calculus of Complex Functions: 18MAT41 17MAT41 • • Complex Analysis Complex Integrations • Curve fitting Statistical Method 18MAT41 17MAT31 • • Statistical Method Curve fitting • COMPLEX NUMBER: 18MATDIP31 • • COMPLEX NUMBER: 18MATDIP31 • Vector differentiation 18MATDIP31 17MATDIP31 • • Vector differentiation 18MATDIP31,17M... • Differential Calculus Partial Differential 18MATDIP31 17MATDIP31 • • Differential Calculus Partial Diffe...
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