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Mathematics LibreTexts

10.1: Double Integrals over Rectangular Regions

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  1. Compute 2040(1+x) dydx.
     
  2. Compute 1122(2x+3y+5) dxdy.
     
  3. Compute 6192yx2 dydx.
     
  4. Compute ln3ln210ex+y dydx.
     
  5. Compute π0π/20sin(2x)cos(3y) dxdy.
     
  6. Compute e1e1sin(lnx)cos(lny)xy dxdy.
     
  7. Compute 1021xx2+y2 dydx.
     
  8. Find the volume under the surface z=xy and over rectangle R=[0,2]×[1,3].
     
  9. Find the volume under the surface z=y2 and over rectangle R=[2,2]×[1,4].
     
  10. Find the volume under the surface z=x4x2y and over rectangle R=[0,2]×[1,e].
     
  11. Sketch the solid whose volume is expressed as Rx dA, where R=[0,5]×[0,5]. Then use geometry to find the volume.
     
  12. Sketch the solid whose volume is expressed as R4y2 dA, where R=[0,2]×[0,2]. Then use geometry to find the volume.

10.1: Double Integrals over Rectangular Regions is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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