Evaluate the following iterated integrals. int_0^3int_{-2}^1 (2x+3y)dxdy

djeljenike 2021-03-02 Answered
Evaluate the following iterated integrals.
0321(2x+3y)dxdy
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Expert Answer

comentezq
Answered 2021-03-03 Author has 106 answers
Given integral,
0321(2x+3y)dxdy
Now
0321(2x+3y)dxdy=03(2x22+3xy)21dy
=03(x2+3xy)21dy
=03((1)2+3(1)y(2)23(2)y)dy
=03(1+3y4+6y)dy
=03(3+9y)dy
=(3y+9y22)03
=(3(3)+9(3)22+3(0)+9(0)22)
=9+812+0
=632
Final answer:
0321(2x+3y)dxdy=632
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