17-25. Double integrals Evaluate each double integral over the region R by converting it to an...

 

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17-25. Double integrals Evaluate each double integral over the region R by converting it to an iterated integral. 17. [ (x (x + 2y) dA; R = {(x,y): 0≤x≤ 3,1 ≤ y ≤ 4} 18. [] (x² + xy) dA; R = {(x,y): 1 ≤x≤ 2,-1 ≤ y ≤ |} 1} 19. [[ 4x' cos y dA; R = {(x, y): 1 ≤ x ≤ 2,0 ≤ y ≤ m/2} 20. 21. √√₁²; Į [√Fa: R= 22. [[ xy sin x² dA; R = {(x,y):0 ≤ x ≤ Væ/2,0 ≤ y ≤ 1} [¹¹² A; R ex+2y dA; R = {(x, y): 0 ≤ x ≤ In 2, 1 ≤ y ≤ In 3} 25 23. dA; R = {(x, y): ≤ x ≤ ₁1 ≤ y ≤ 2} dA; R = {(x, y): 0≤x≤ 1,1 ≤ y ≤ 4} 17-25. Double integrals Evaluate each double integral over the region R by converting it to an iterated integral. 17. [ (x (x + 2y) dA; R = {(x,y): 0≤x≤ 3,1 ≤ y ≤ 4} 18. [] (x² + xy) dA; R = {(x,y): 1 ≤x≤ 2,-1 ≤ y ≤ |} 1} 19. [[ 4x' cos y dA; R = {(x, y): 1 ≤ x ≤ 2,0 ≤ y ≤ m/2} 20. 21. √√₁²; Į [√Fa: R= 22. [[ xy sin x² dA; R = {(x,y):0 ≤ x ≤ Væ/2,0 ≤ y ≤ 1} [¹¹² A; R ex+2y dA; R = {(x, y): 0 ≤ x ≤ In 2, 1 ≤ y ≤ In 3} 25 23. dA; R = {(x, y): ≤ x ≤ ₁1 ≤ y ≤ 2} dA; R = {(x, y): 0≤x≤ 1,1 ≤ y ≤ 4}

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To evaluate the double integrals over the given regions we can convert them into iterated integrals ... View the full answer