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Hello! How to do and integrate questions 13,15,17,19,21 to polar integral? TQ 12 . dy dx 31. Ca 13. x dx dy fro 32. 0

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Hello! How to do and integrate questions 13,15,17,19,21 to polar integral? TQ

image text in transcribedimage text in transcribed
12 . dy dx 31. Ca 13. x dx dy fro 32. 0 14 . y dy dx th 15 Avera In po 17. 2 (Sect -VI-x 1+ Vx2+ yz dy dx 18. 2 1-x (1 + x2 + 2)2 dy dx 33. In 2 ~V(In2)2-yz evaty dx dy 34. .V1-y 20 . L, J. In (x2 + y2 + 1) dx dy 35. V2-x2 (x + 2y) dy dx 36. V2r-x2 ( x2 + 12 ) 2 dy dx Th 37 In Exercises 23-26, sketch the region of integration and convert each polar integral or sum of integrals to a Cartesian integral or sum of 3 integrals. Do not evaluate the integrals. 23 So I sin & cos O dir do 3 r2 cos 0 dr de CS Scanned with CamScanner7. The region enclosed by the circle x + y = 2x 8. The region enclosed by the semicircle x + y = 2y, y 20 Evaluating Polar Integrals In Exercises 9-22, change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. V1-x2 1 - y 2 dy dx (x2 + 1 2 ) doc dy ( x2 + y? ) dx dy

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