Question

In: Math

Multiple Integrations

Evaluate the following double integral.

(a).  , R is the region bounded by and 

(b)  is the region bounded by  x=0, x=2,y=x and 

(c)  is the region bounded by the lines y=x,y=x-1,y=0 and y=2

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Expert Solution

Solution

Evaluate the following double integral.

(a).  , R is the region bounded by  and 

Let 

             

Therefore, 

(b)  is the region bounded by  x=0, x=2,y=x and 

             

Therefore,

(c)  is the region bounded by the lines y=x,y=x-1,y=0 and y=2

                   

we have 

                 

Therefore, 

SUN BUNRA answered 3 years ago
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