Double integrals

• How to Integrate This Double Integral in Polar Coordinates
  Convert the circular region to polar bounds, include the Jacobian, and evaluate the double integral to obtain π/16.
• How to Set Up a Double Integral Over x² + y² ≤ 4 in Polar Coordinates
  The region x² + y² ≤ 4 is a disk of radius 2; set its polar bounds and multiply the transformed integrand by r.
• How to Change Variables and Bounds in a Double Integral
  Learn how to transform a double integral correctly: map the region, derive new bounds, include the absolute Jacobian, and check the result.
• How to Set Up a Double Integral Over an Inequality-Defined Region
  To integrate over a region given by inequalities, sketch its boundary, find projection limits, and write the bounds in an order that covers it once.