Doug C. answered • 04/09/20
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Alex T.
asked • 04/09/20evaluate double integral
∫ 9 0 ∫ 5 3 (x+4y)^(1/2) dxdy
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Patrick B. answered • 04/09/20
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4770 integral [ integral [ (x+4y)^(1/2) dx] dy ]
4770 integral [ (2/3) (x+4y)^(3/2) dy ] =
4770 (2/3)(2/5)(1/4) (x + 4y)^(5/2) =
318 (x+4y)^(5/2)
----------------------------
check
Dx dy [ 318( x+4y)^(5/2) ] = dx [ 318(5/2) (x+4y)^(3/2) (4) ] = dx[3180(x+4y)^(3/2)]
= (3180)(3/2) (x+4y)^(1/2) = 4770 (x+4y)^(1/2)
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