substitution on multiple integrals











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Let $Q$ be the region in $mathbb{R}^2$ enclosed by the quadrilateral with vertices $(2, 4), (6, 3), (8, 4)$, and $(4, 8)$. Evaluate the double integral



$$iint_Q frac{5y-x}{y^2(y-2)^2}dxdy$$



I was trying to do a substitution but it did not work how can I tackle this question?










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  • Hint: It might be easier to break the region up into simpler regions, such as squares and triangles and integrate over each one individually and then add them together.
    – Is12Prime
    Nov 18 at 2:34










  • I tried it but the resulting integral was hard
    – bake
    Nov 18 at 4:18










  • is this question that hard!
    – bake
    Nov 20 at 16:44















up vote
0
down vote

favorite












Let $Q$ be the region in $mathbb{R}^2$ enclosed by the quadrilateral with vertices $(2, 4), (6, 3), (8, 4)$, and $(4, 8)$. Evaluate the double integral



$$iint_Q frac{5y-x}{y^2(y-2)^2}dxdy$$



I was trying to do a substitution but it did not work how can I tackle this question?










share|cite|improve this question
























  • Hint: It might be easier to break the region up into simpler regions, such as squares and triangles and integrate over each one individually and then add them together.
    – Is12Prime
    Nov 18 at 2:34










  • I tried it but the resulting integral was hard
    – bake
    Nov 18 at 4:18










  • is this question that hard!
    – bake
    Nov 20 at 16:44













up vote
0
down vote

favorite









up vote
0
down vote

favorite











Let $Q$ be the region in $mathbb{R}^2$ enclosed by the quadrilateral with vertices $(2, 4), (6, 3), (8, 4)$, and $(4, 8)$. Evaluate the double integral



$$iint_Q frac{5y-x}{y^2(y-2)^2}dxdy$$



I was trying to do a substitution but it did not work how can I tackle this question?










share|cite|improve this question















Let $Q$ be the region in $mathbb{R}^2$ enclosed by the quadrilateral with vertices $(2, 4), (6, 3), (8, 4)$, and $(4, 8)$. Evaluate the double integral



$$iint_Q frac{5y-x}{y^2(y-2)^2}dxdy$$



I was trying to do a substitution but it did not work how can I tackle this question?







multivariable-calculus






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Nov 18 at 8:05









Gaby Boy Analysis

626314




626314










asked Nov 18 at 2:19









bake

62




62












  • Hint: It might be easier to break the region up into simpler regions, such as squares and triangles and integrate over each one individually and then add them together.
    – Is12Prime
    Nov 18 at 2:34










  • I tried it but the resulting integral was hard
    – bake
    Nov 18 at 4:18










  • is this question that hard!
    – bake
    Nov 20 at 16:44


















  • Hint: It might be easier to break the region up into simpler regions, such as squares and triangles and integrate over each one individually and then add them together.
    – Is12Prime
    Nov 18 at 2:34










  • I tried it but the resulting integral was hard
    – bake
    Nov 18 at 4:18










  • is this question that hard!
    – bake
    Nov 20 at 16:44
















Hint: It might be easier to break the region up into simpler regions, such as squares and triangles and integrate over each one individually and then add them together.
– Is12Prime
Nov 18 at 2:34




Hint: It might be easier to break the region up into simpler regions, such as squares and triangles and integrate over each one individually and then add them together.
– Is12Prime
Nov 18 at 2:34












I tried it but the resulting integral was hard
– bake
Nov 18 at 4:18




I tried it but the resulting integral was hard
– bake
Nov 18 at 4:18












is this question that hard!
– bake
Nov 20 at 16:44




is this question that hard!
– bake
Nov 20 at 16:44















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