In this video you will learn how to convert Cartesian coordinate system in to polar coordinate system for solving double integration.
you will Also learn
how to evaluate limit in polar coordinate system.
standard substitution for x, Y & dxdy
how to find bounded region for integration
Following are the links which will help you to understand Basic concepts of double integration
Basic point of double integration:   • #1Double integral: Basic  point to s...  

how to evaluate limit of double integration:   • #2Easy steps to evaluate limit for d...  

how to change the order of integration part1:   • #4Easiest way & step wise  explanati...  

how to change the order of integration Part2:   • #5Easiest way & step wise  explanati...  

solution to questions of double integral by evaluating the limit:   • #3Double integration : evaluation of...  

Solution to questions of double integral by changing the order of integration:   • #6easiest way to solve the double in...  

How to evaluate limit for polar curve and about polar substitution:   • #7Double integration: Polar substitu...  

Solution to questions of double integral by polar substitution:   • #9Simplest way to solve the question...  

Solution to questions of double integral by polar substitution:   • #8Double integration : Simplest way ...  


APPLICATION OF DOUBLE INTEGRATION
AREA
Solution to questions for finding the area for Cartesian Curve:
Solution to questions for finding the area for Polar Curve:
Solution to questions for finding the area for Parametric Curve:

CENTER OF GRAVITY
Solution to questions for finding the C.G. for Cartesian Curve:
Solution to questions for finding the C.G. for Polar Curve:
Solution to questions for finding the C.G. for Parametric Curve:

MOMENT OF INERTIA
Solution to questions for finding the M.I. for Cartesian Curve:
Solution to questions for finding the M.I. for Polar Curve:
Solution to questions for finding the M.I. for Parametric Curve:

FOLLOWING ARE THE LINK OF BASIC POINT OF CURVE WHICH REQUIRED FOR DOUBLE INTEGRATION
☑ Symmetry    • #1Cartesian curve  Determining Symm...  
☑ POI & Tangent    • #2Cartesian curve  Determining POI ...  
☑ Asymptotes    • #3Cartesian curve  Determining Asym...  
☑ Region of absence    • #4Cartesian curve  Region of absence