Calculate the double integral. double integral x\sin(x+y)dA, R=[0, \pi/6]x[

Bevan Mcdonald

Bevan Mcdonald

Answered question

2021-10-07

Calculate the double integral. double integral xsin(x+y)dA,R=[0,π6]x[0,π3]

Answer & Explanation

Roosevelt Houghton

Roosevelt Houghton

Skilled2021-10-08Added 106 answers

We figure out the iterative integral:
0π60π3xsin(x+y) dy  dx =0π6xcos(x+y)y=0y=π3 dx  
=0π6xcosxxcos(x+π3) dx  
=1+32π12 
Results: 
1+32π12

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