Calculate the iterated integral int_0^2 int_0^3e^(x-y)dy dx

Damien Horton 2022-07-27 Answered
Calculate the iterated integral 0 2 0 3 e x y d y d x
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Answers (1)

i4epdp
Answered 2022-07-28 Author has 12 answers
0 2 0 3 e x y d y d x
= 0 2 [ e x y ] 0 y = 3 d x
= 0 2 ( e x 3 e x ) d x
= [ e x 3 e x ] 0 2
= [ ( e 1 e 2 ) ( e 3 e 0 ) ]
= e 2 1 e + 1 e 3 1
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