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?
multivariable-calculus
add a comment |
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?
multivariable-calculus
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
add a comment |
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?
multivariable-calculus
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
multivariable-calculus
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
add a comment |
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
add a comment |
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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