Given the integral (9x * e12x dx and the substitution information u = 9x du = 9 dx V -e12x 12

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A: ∫46(∫274xydy)dxIntregation wrt y so x will be constant.⇒∫46[4xy22]27dx ⇒∫462x(49-4)⇒∫462x(45)dx

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A: Integration formulas help to integrate the given fuction. Simplification of the function helps to…

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A: Given,

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A: To evaluate the given double integral.∫03∫04-3x dx dy

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A: Separate the integrals.

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A: Explanation of the answer is as follows

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