Express given integral as an iterated integral in variable u

Reference no: EM131015162

Let D be the triangular region in the xy-plane bounded by the lines

y = x, 3X + y = 4 and X + 3y = 12 (see figure). Using the transformation of coordinates x = (3/8)u - (1/8)v and y =-(1/8)u + (3/8)v, express the integral ∫∫_D(24x + 8y )dx dy as an iterated integral in the variables u and v. Do not evaluate the integral.

70_Triangular region.jpg

Reference no: EM131015162

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Express given integral as an iterated integral in variable u : Using the transformation of coordinates x = (3/8)u - (1/8)v and y =-(1/8)u + (3/8)v, express the integral ∫∫D(24x + 8y )dx dy as an iterated integral in the variables u and v. Do not evaluate the integral.

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