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What is Change of Variables in Double Integrals about?

1. The integral is evaluated using a change of variables from Cartesian to polar coordinates where x=rcosθ and y=rsinθ. 2. The Jacobian of the transformation is r, so the integral becomes an integral in polar coordinates. 3. Evaluating the integral in polar coordinates from r=0 to r=1 and θ=0 to θ=π/2 gives the value of the original Cartesian integral.

Author

Saman Kadamb

Language

EN