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

Damien Horton

Damien Horton

Answered question

2022-07-27

Calculate the iterated integral 0 2 0 3 e x y d y d x

Answer & Explanation

i4epdp

i4epdp

Beginner2022-07-28Added 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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